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Novikov, Sergei Petrovich
(1938–2024)

Total publications: 398 (221)
in MathSciNet: 366 (216)
in zbMATH: 245 (149)
in Web of Science: 214 (84)
in Scopus: 111 (73)
Cited articles: 142
Citations: 4897
Presentations: 43

Number of views:
This page:44780
Abstract pages:219945
Full texts:90371
References:10747
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1965)
Speciality: 01.01.04 (Geometry and topology)
Website: https://www.mi.ras.ru/~snovikov

Biography


Vita and Education:

Born: March 20, 1938, Gorky City (N. Novgorod), Father — Petr Sergeevich Novikov (1901–1975), outstanding mathematician (Descriptive Set Theory, Inverse Problem for the Newtonian Gravity, Mathematical Logic and Combinatorial Group Theory), Mother — Keldysh Lyudmila Vsevolodovna (1904–1976), well-known mathematician, full professor (Set Theory and Geometric Topology).

1955–1960 Study in Moscow State University Department of Mathematics and Mechanics,

1960 Student diploma from the Department of Mathematics and Mechanics of MSU. Thesis title: "Homotopy properties of Thom complexes", (Prof. M. M. Postnikov — adviser).

1960–1963 Aspirantura, the Steklov Institute of Mathematics (Prof. M. M. Postnikov — adviser).

1964 Candidate of Science (=PhD) in Physics and Mathematics. Thesis title: "Differentiable sphere bundles".

1965 Doctor of Science in Physics and Mathematics, Thesis title: "Homotopy equivalent smooth manifolds".

1962 Married, 3 children, 1 son and 2 daughters.

Employment:

1963–1975 The staff at the Steklov Institute of Mathematics, junior researcher (senior researcher since 1965)

1967 The staff at the Department of Differential Geometry of Moscow State University, full professor

1971–1993 Head of the Mathematics Group at the L. D. Landau Institute of Theoretical Physics of the Academy of Sciences of the USSR, after 1993 — Principal Researcher in the same Institute

1983 Head of the Chair in Higher Geometry and Topology of Moscow State University

1984 Head of the Group in Geometry and Topology of the Steklov Mathematical Institute of the Academy of Sciences of the USSR

02/1991–08/1991 Research professor, Laboratory of Theoretical Physics, Ec. Norm. Sup. de Paris, France

1992–1996 University of Maryland at College Park, visiting full professor IPST and Math Department

1996 University of Maryland at College Park, full professor IPST and Math Department (Distinguished University Professor since 1997)

06/2000–06/2001 — November 2002 — Visiting Distinguished Professor of KIAS, Seoul (Korean Institute of Advanced Studies)

Special Service:

1983–1986 Member of Fields Medal Committee of The International Mathematical Union (for the International Mathematical Congress, Berckeley, 1986)

1985–1996 President of the Moscow Mathematical Society

1986–1990 Vice-President of the International Association of Mathematical Physics

1986 Editor-in-Chief of the Journal "Uspekhi Math Nauk" (="Russian Math Surveys")

1984–1991 Head of the Problem Committee of the Geometry and Topology at the Mathematical Division of the Academy of Sciences of USSR

1994–1996 Member of the Program Committee of The European Math Society (for the 2nd European Math Congress, Budapest, July 1996)

1995–1998 Member of the Program Committee of the International Mathematical Union (for the International Mathematical Congress, Berlin, August 1998)

1993–1998 Head of the Expert Committee in Mathematics, Mechanics, Informatics in the Russian Foundation for the Fundamental Research (RFFR).

2000"2002 Member of the Fields Medal Committee of the International Mathematical Union (for the International Mathematical Congress, Beigin, August 2002)

Awards and Honors:

1964 Moscow Math Society Award for young mathematicians

1966–1981 Corresponding member of the Academy of Sciences of the USSR

1967 Lenin Prize

1970 Fields Medal of the International Mathematical Union

1981 Lobachevskii International Prize of the Academy of Sciences of the USSR

1981 Full Member of the Academy of Sciences of the USSR

1987 Honorary Member of the London Math. Society

1988 Honorary Member of the Serbian Academy of Art and Sciences

1988 Doctor Honoris Causa, University of Athens

1991 Foreign Member, "Academia de Lincei", Italy

1993 Academia Europea, member

1994 Foreign associate, National Academy of Sciences, USA

1996 Member, Pontifical Academy of Sciences (Vatican)

1997 Distinguished University Professor, University of Maryland at College Park

1998 Conferences in Honor of 60th birthday: Solitons, Geometry, Topology: On the Crossroads, a) Steklov Math Institute and Landau Institute for Theor Physics, Moscow, Russia, May 26–31, 1998 b) University of Maryland at College Park, College Park, MD, September 24–26, 1998

1999 Doctor Honoris Causa, University of Tel Aviv

2003 Fellow, European Academy of Sciences, Brussels


https://www.mathnet.ru/eng/person4537
https://ru.wikipedia.org/wiki/Novikov,_Sergei_Petrovich_(matematik)
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:novikov.sergei-petrovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/191585
https://elibrary.ru/author_items.asp?authorid=4565
ISTINA https://istina.msu.ru/workers/7962539
https://www.scopus.com/authid/detail.url?authorId=7202404420

Full list of scientific publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2022
1. I. A. Dynnikov, A. Ya. Mal'tsev, S. P. Novikov, “Chaotic trajectories on fermi surfaces and nontrivial modes of behavior of magnetic conductivity”, J. Exp. Theor. Phys., 135 (2022), 240–254  mathnet  crossref  crossref  elib
2. I. A. Dynnikov, A. Ya. Mal'tsev, S. P. Novikov, “Geometry of quasiperiodic functions on the plane”, Russian Math. Surveys, 77:6 (2022), 1061–1085  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
3. A. Ya. Maltsev, S. P. Novikov, “Open level lines of a superposition of periodic potentials on a plane”, Ann. Physics, 447 (2022), 169039 , 11 pp., arXiv: 2206.04014  mathnet  crossref  mathscinet  isi; 2

   2021
4. A. Ya. Mal'tsev, S. P. Novikov, “Poisson brackets of hydrodynamic type and their generalizations”, J. Exp. Theor. Phys., 132:4 (2021), 645–657  mathnet  crossref  crossref  isi  elib  scopus
5. V. M. Buchstaber, S. S. Demidov, V. B. Demidovich, D. V. Millionshchikov, S. P. Novikov, V. A. Skvortsov, V. M. Tikhomirov, V. N. Chubarikov, K. E. Yakimova, “To memory of Elena Aleksandrovna Morozova”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 6, 63–70  mathnet

   2020
6. S. P. Novikov, “Spinning tops and magnetic orbits”, Russian Math. Surveys, 75:6 (2020), 1133–1141  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2019
7. A. Ya. Maltsev, S. P. Novikov, “Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter”, Russian Math. Surveys, 74:1 (2019), 141–173  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
8. S. P. Novikov, R. De Leo, I. A. Dynnikov, A. Ya. Mal'tsev, “Theory of Dynamical Systems and Transport Phenomena in Normal Metals”, J. Exp. Theor. Phys., 129:4 (2019), 710–721  mathnet  crossref  crossref  adsnasa  isi  elib  scopus

   2018
9. A. Ya. Maltsev, S. P. Novikov, “The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems”, Proc. Steklov Inst. Math., 302 (2018), 279–297  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2017
10. P. G. Grinevich, S. P. Novikov, “Singular solitons and spectral meromorphy”, Russian Math. Surveys, 72:6 (2017), 1083–1107  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  adsnasa  isi  elib  scopus

   2016
11. P. G. Grinevich, S. P. Novikov, “On $\mathbf{s}$-meromorphic ordinary differential operators”, Russian Math. Surveys, 71:6 (2016), 1143–1145  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2015
12. P. G. Grinevich, A. E. Mironov, S. P. Novikov, “On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator”, Russian Math. Surveys, 70:2 (2015), 299–329  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus

   2014
13. P. G. Grinevich, S. P. Novikov, “Spectrally meromorphic operators and non-linear systems”, Russian Math. Surveys, 69:5 (2014), 924–926  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2013
14. P. G. Grinevich, S. P. Novikov, “Discrete $SL_n$-connections and self-adjoint difference operators on two-dimensional manifolds”, Russian Math. Surveys, 68:5 (2013), 861–887  mathnet  crossref  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2011
15. S. P. Novikov, P. Grinevich and A. Mironov, “On the nonrelativistic 2D Purely Magnetic Supersymmetric Pauli Operator”, 2011, arXiv: 1101.5678
16. Proc. Steklov Inst. Math., 273 (2011), 238–251  mathnet  crossref  mathscinet  zmath  isi  elib
17. P. G. Grinevich, S. P. Novikov, “Singular solitons and indefinite metrics”, Dokl. Math., 83:1 (2011), 56–58  crossref  mathscinet  zmath  isi  elib  elib  scopus
18. S. P. Novikov, P. Grinevich, and A. Mironov, “2D Pauli operator in the magnetic field. Low temperature physics”, Low Temperature Physics, 37 (2011), 829–833  crossref  adsnasa  isi  elib  elib  scopus

   2010
19. P. Grinevich, A. Mironov, S. Novikov, New Reductions and Nonlinear Systems for 2D Schrodinger Operators, 2010 , arXiv: 1001.4300
20. P. G. Grinevich, A. E. Mironov, S. P. Novikov, “2D-Schrödinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data”, Russian Math. Surveys, 65:3 (2010), 580–582  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
21. P. G. Grinevich, A. E. Mironov, S. P. Novikov, “Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-$1/2$ particles”, Theoret. and Math. Phys., 164:3 (2010), 1110–1127  mathnet  crossref  crossref  adsnasa  isi  elib  scopus

   2009
22. P. G. Grinevich, S. P. Novikov, “Singular finite-gap operators and indefinite metrics”, Russian Math. Surveys, 64:4 (2009), 625–650  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
23. S. P. Novikov, Four Lectures: Discretization and Integrability. Discrete Spectral Symmetries, Lecture Notes in Phys., 767, Springer, Berlin, 2009, 119–138  crossref  mathscinet  zmath  adsnasa  scopus 1

   2008
24. S. P. Novikov, “Dynamical systems and differential forms. Low dimensional Hamiltonian systems”, Geometric and probabilistic structures in dynamics, Contemp. Math., 469, Amer. Math. Soc., Providence, RI, 2008, 271–287  crossref  mathscinet  zmath  isi 1
25. P. G. Grinevich, S. P. Novikov, “Reality problems in the soliton theory”, Probability, geometry and integrable systems, Math. Sci. Res. Inst. Publ., 55, Cambridge Univ. Press, Cambridge, 2008, 221–239  mathscinet  zmath
26. S. P. Novikov, Lectures on Discrete Systems, University of Montreal, Canada, June 13–20, Proceedings of Workshop on the Discrete Systems and Symmetry, 2008

   2006
27. S. P. Novikov, I. A. Taimanov, Modern geometric structures and fields, Translated from the 2005 Russian original by Dimitry Chibisov, Graduate Studies in Mathematics, 71, American Mathematical Society, Providence, RI, 2006 , xx+633 pp.  crossref  mathscinet  zmath 28
28. A. Ya. Maltsev, S. P. Novikov, “Topology, quasiperiodic functions, and the transport phenomena”, Topology in condensed matter, Springer Ser. Solid-State Sci., 150, Springer, Berlin, 2006, 31–59  crossref  mathscinet  zmath  adsnasa  scopus

   2005
29. S. P. Novikov, “The Schrödinger equation and symplectic geometry”, Surveys in modern mathematics, London Math. Soc. Lecture Note Ser., 321, Cambridge Univ. Press, Cambridge, 2005, 203–210  mathscinet
30. S. P. Novikov, Topology of Foliations given by the real part of holomorphic $1$-forms, 2005 , arXiv: math/0501338
31. S. P. Novikov, “Topology of generic Hamiltonian foliations on Riemann surfaces”, Mosc. Math. J., 5:3 (2005), 633–667  mathnet  crossref  mathscinet  zmath  isi 5
32. I. A. Dynnikov, S. P. Novikov, “Topology of quasi-periodic functions on the plane”, Russian Math. Surveys, 60:1 (2005), 1–26  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
33. S. P. Novikov, “On Metric-Independent Exotic Homology”, Proc. Steklov Inst. Math., 251 (2005), 206–212  mathnet  mathscinet  zmath

   2004
34. B. A. Dubrovin, I. M. Krichever, S. P. Novikov, Topological and algebraic geometry methods in contemporary mathematical physics, Classic Reviews in Mathematics and Mathematical Physics, 2, Cambridge Scientific Publishers, Cambridge, 2004 , iv+139 pp.  mathscinet  zmath
35. A. Ya. Maltsev, S. P. Novikov, “Dynamical systems, topology, and conductivity in normal metals”, J. Statist. Phys., 115:1-2 (2004), 31–46  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 29
36. S. P. Novikov, “The second half of the 20th century and its conclusion: crisis in the physics and mathematics community in Russia and in the West”, Translated from Istor.-Mat. Issled. (2) No. 7(42) (2002), 326–356; MR1960272 by A. Sossinsky, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 212, Amer. Math. Soc., Providence, RI, 2004, 1–24  mathscinet  zmath
37. S. P. Novikov, “Topology in the 20th century: a view from the inside”, Russian Math. Surveys, 59:5 (2004), 803–829  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
38. S. P. Novikov, “Algebraic topology”, Sovrem. Probl. Mat., 4, Steklov Math. Inst., RAS, Moscow, 2004, 3–45 , 46 pp.  mathnet  crossref  mathscinet  zmath
39. S. P. Novikov, “Discrete Connections and Difference Linear Equations”, Proc. Steklov Inst. Math., 247 (2004), 168–183  mathnet  mathscinet  zmath

   2003
40. P. G. Grinevich, S. P. Novikov, “Topological phenomena in the real periodic sine-Gordon theory”, Integrability, topological solitons and beyond, J. Math. Phys., 44, no. 8, 2003, 3174–3184  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 1
41. A. Ya. Maltsev, S. P. Novikov, “Quasiperiodic functions and dynamical systems in quantum solid state physics”, Dedicated to the 50th anniversary of IMPA, Bull. Braz. Math. Soc. (N.S.), 34:1 (2003), 171–210  crossref  mathscinet  zmath  isi  elib  scopus 17
42. P. G. Grinevich, S. P. Novikov, “Topological charge of the real periodic finite-gap sine-Gordon solutions”, Dedicated to the memory of Jürgen K. Moser, Comm. Pure Appl. Math., 56:7 (2003), 956–978  crossref  mathscinet  zmath  isi  elib  scopus 9
43. I. A. Dynnikov, S. P. Novikov, “Geometry of the triangle equation on two-manifolds”, Mosc. Math. J., 3:2 (2003), 419–438  mathnet  crossref  mathscinet  zmath  isi  elib 34
44. I. M. Krichever, S. P. Novikov, “Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic bundles”, Russian Math. Surveys, 58:3 (2003), 473–510  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2002
45. S. P. Novikov, On the exotic De-Rham cohomology. Perturbation theory as a spectral sequence, 2002 , arXiv: math-ph/0201019

   2001
46. B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “Integrable systems. I”, Dynamical systems, IV, Encyclopaedia Math. Sci., 4, Springer, Berlin, 2001, 177–332  crossref  mathscinet 26
47. A. Ya. Maltsev, S. P. Novikov, “On the local systems Hamiltonian in the weakly non-local Poisson brackets”, Phys. D, 156:1-2 (2001), 53–80  crossref  mathscinet  zmath  isi  elib  scopus 59
48. S. P. Novikov, A Note on the Real Fermionic and Bosonic quadratic forms: Their Diagonalization and Topological Interpreation, 2001 , arXiv: math-ph/0110032
49. P. G. Grinevich, S. P. Novikov, “Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge”, Russian Math. Surveys, 56:5 (2001), 980–981  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2000
50. S. P. Novikov, “Classical and modern topology. Topological phenomena in real world physics”, GAFA 2000 (Tel Aviv, 1999), Geom. Funct. Anal., no. Special Volume, 2000, 406–424  mathscinet  zmath  isi
51. S. P. Novikov, “Surgery in the 1960s”, Surveys on surgery theory, v. 1, Ann. of Math. Stud., 145, Princeton Univ. Press, Princeton, NJ, 2000, 31–39  mathscinet  zmath
52. B. I. Botvinnik, V. M. Buchstaber, S. P. Novikov, S. A. Yuzvinskii, “Algebraic aspects of the theory of multiplications in complex cobordism theory”, Russian Math. Surveys, 55:4 (2000), 613–633  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
53. I. M. Krichever, S. P. Novikov, “Holomorphic bundles and commuting difference operators. Two-point constructions”, Russian Math. Surveys, 55:3 (2000), 586–588  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
54. I. M. Krichever, S. P. Novikov, “Holomorphic bundles and scalar difference operators: one-point constructions”, Russian Math. Surveys, 55:1 (2000), 180–181  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1999
55. S. P. Novikov, “Schrodinger operators on graphs and symplectic geometry”, The Arnoldfest (Toronto, ON, 1997), Fields Inst. Commun., 24, Amer. Math. Soc., Providence, RI, 1999, 397–413  mathscinet  zmath
56. I. Krichever, S. P. Novikov, “Periodic and almost-periodic potentials in inverse problems”, Inverse Problems, 15:6 (1999), R117–R144  crossref  mathscinet  zmath  isi  scopus 19
57. I. M. Krichever, S. P. Novikov, “Trivalent graphs and solitons”, Russian Math. Surveys, 54:6 (1999), 1248–1249  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
58. S. P. Novikov, “Levels of quasiperiodic functions on a plane, and Hamiltonian systems”, Russian Math. Surveys, 54:5 (1999), 1031–1032  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
59. S. P. Novikov, A. S. Schwarz, “Discrete Lagrangian systems on graphs. Symplectic-topological properties”, Russian Math. Surveys, 54:1 (1999), 258–259  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
60. S. P. Novikov, “Difference Schrödinger Operators”, Proc. Steklov Inst. Math., 224 (1999), 250–265  mathnet  mathscinet  zmath

   1998
61. S. Novikov, “Discrete Schrödinger operators and topology”, Mikio Sato: a great Japanese mathematician of the twentieth century, Asian J. Math., 2, no. 4, 1998, 921–933  crossref  mathscinet  zmath 9
62. S. P. Novikov, A. Ya. Maltsev, “Topological phenomena in normal metals”, Phys. Uspekhi, 41:3 (1998), 231–239  mathnet  crossref  crossref  adsnasa  isi  elib  scopus

   1997
63. S. Novikov, “Rôle of integrable models in the development of mathematics”, Fields Medallists' lectures, World Sci. Ser. 20th Century Math., 5, World Sci. Publ., River Edge, NJ, 1997, 202–217  crossref  mathscinet
64. S. P. Novikov, A. P. Veselov, “Exactly solvable two-dimensional Schrödinger operators and Laplace transformations”, Solitons, geometry, and topology: on the crossroad, Amer. Math. Soc. Transl. Ser. 2, 179, Amer. Math. Soc., Providence, RI, 1997, 109–132  mathscinet  zmath
65. S. P. Novikov, “The Schrödinger operator on graphs and topology”, Russian Math. Surveys, 52:6 (1997), 1320–1321  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
66. I. A. Dynnikov, S. P. Novikov, “Laplace transforms and simplicial connections”, Russian Math. Surveys, 52:6 (1997), 1294–1295  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
67. S. P. Novikov, I. A. Dynnikov, “Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds”, Russian Math. Surveys, 52:5 (1997), 1057–1116  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
68. S. P. Novikov, “Algebraic properties of two-dimensional difference operators”, Russian Math. Surveys, 52:1 (1997), 226–227  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   1996
69. S. P. Novikov, “Theory of the string equation in the double-scaling limit of 1-matrix models”, Internat. J. Modern Phys. B, 10:18-19 (1996), 2249–2271  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 4
70. S. P. Novikov, “Topology”, Topology, I, Encyclopaedia Math. Sci., 12, Springer, Berlin, 1996, 1–319  crossref  mathscinet  zmath 5
71. S. P. Novikov, A. Ya. Maltsev, “Topologicheskie kvantovye kharakteristiki, nablyudaemye pri issledovanii provodimosti v normalnykh metallakh”, Pisma v ZhETF, 63:10 (1996), 809–813

   1995
72. P. G. Grinevich, S. P. Novikov, “Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle”, Topics in topology and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 170, Amer. Math. Soc., Providence, RI, 1995, 59–82  mathscinet
73. V. M. Buchstaber, S. P. Novikov, “The S. P. Novikov Seminar”, Topics in topology and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 170, Amer. Math. Soc., Providence, RI, 1995, 1–7  mathscinet  zmath
74. S. P. Novikov, “The semiclassical electron in a magnetic field and lattice. Some problems of low-dimensional “periodic” topology”, Geom. Funct. Anal., 5:2 (1995), 434–444  crossref  mathscinet  zmath  isi  scopus 8
75. A. P. Veselov, S. P. Novikov, “Exactly soluble periodic two-dimensional Schrödinger operators”, Russian Math. Surveys, 50:6 (1995), 1316–1317  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1994
76. S. P. Novikov, Solitons and geometry, Lezioni Fermiane. [Fermi Lectures], Published for the Scuola Normale Superiore, Pisa, 1994 , ii+60 pp.  mathscinet

   1995
77. P. G. Grinevich, S. P. Novikov, “String equation. II. Physical solution”, St. Petersburg Math. J., 6:3 (1995), 553–574  mathnet  mathscinet  zmath

   1993
78. S. P. Novikov, “Differential geometry and hydrodynamics of soliton lattices”, Important developments in soliton theory, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993, 242–256  crossref  mathscinet  zmath 2
79. B. A. Dubrovin, S. P. Novikov, Hydrodynamics of soliton lattices, Soviet Scientific Reviews, Section C: Mathematical Physics Reviews, 9, Harwood Academic Publishers GmbH, Yverdon, 1993 , ii+136 pp.  mathscinet
80. S. P. Novikov, “Quasiperiodic structures in topology”, Topological methods in modern mathematics (Stony Brook, NY, 1991), Publish or Perish, Houston, TX, 1993, 223–233  mathscinet  zmath
81. S. P. Novikov, A. Ya. Mal'tsev, “The Liouville form of averaged Poisson brackets”, Russian Math. Surveys, 48:1 (1993), 155–157  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1992
82. S. P. Novikov, “Action-angle variables and algebraic geometry”, La Mécanique analytique de Lagrange et son héritage, II (Turin, 1989), Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur., 126, no. suppl. 2, 1992, 139–150  mathscinet  zmath
83. S. Novikov, “Rôle of integrable models in the development of mathematics”, Mathematical research today and tomorrow (Barcelona, 1991), Lecture Notes in Math., 1525, Springer, Berlin, 1992, 13–28  crossref  mathscinet 3
84. S. P. Novikov, “Integrability in mathematics and theoretical physics: solitons”, Math. Intelligencer, 14:4 (1992), 13–21  crossref  mathscinet  isi  elib  scopus 3
85. S. P. Novikov, “Hydrodynamics of soliton lattices: differential geometry and Hamiltonian formalism”, Progress in variational methods in Hamiltonian systems and elliptic equations (L'Aquila, 1990), Pitman Res. Notes Math. Ser., 243, Longman Sci. Tech., Harlow, 1992, 144–156  mathscinet  zmath
86. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov, Modern geometry – methods and applications. Part I. The geometry of surfaces, transformation groups, and fields, Translated from the Russian by Robert G. Burns, Graduate Texts in Mathematics, 93, Ed. 2, Springer-Verlag, New York, 1992 , xvi+468 pp.  crossref  mathscinet  zmath 112
87. S. P. Novikov, “Various doublings of Hopf algebras. Operator algebras on quantum groups, complex cobordisms”, Russian Math. Surveys, 47:5 (1992), 198–199  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1990
88. S. P. Novikov, “Riemann surfaces, operator fields, strings – analogues of the Fourier-Laurent bases”, Common trends in mathematics and quantum field theories (Kyoto, 1990), Progr. Theoret. Phys. Suppl., no. 102, 1990, 293–300  crossref  mathscinet  zmath  adsnasa  isi 1
89. S. P. Novikov, “On the equation $[L,A]=\epsilon\cdot 1$”, With an appendix by the author and B. A. Dubrovin, Common trends in mathematics and quantum field theories (Kyoto, 1990), Progr. Theoret. Phys. Suppl., no. 102, 1990, 287–292  crossref  mathscinet  zmath  adsnasa  isi 2
90. S. P. Novikov, A. T. Fomenko, Basic elements of differential geometry and topology, Translated from the Russian by M. V. Tsaplina, Mathematics and its Applications (Soviet Series), 60, Kluwer Academic Publishers Group, Dordrecht, 1990 , x+490 pp.  crossref  mathscinet  zmath 10
91. K. I. Moiseevich, S. P. Novikov, “Riemann surfaces, operator fields, strings. Analogues of the Fourier–Laurent bases”, Physics and mathematics of strings, World Sci. Publ., Teaneck, NJ, 1990, 356–388  mathscinet
92. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov, Modern geometry – methods and applications. Part III. Introduction to homology theory, Translated from the Russian by Robert G. Burns, Graduate Texts in Mathematics, 124, Springer-Verlag, New York, 1990 , x+416 pp.  crossref  mathscinet  zmath 45
93. S. P. Novikov, “Complex analysis on Riemann surfaces motivated by the operatorial string theory”, Analysis, et cetera, Academic Press, Boston, MA, 1990, 501–519  crossref  mathscinet
94. S. P. Novikov, “Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory”, Funct. Anal. Appl., 24:4 (1990), 296–306  mathnet  crossref  mathscinet  zmath  isi  scopus

   1989
95. I. M. Krichever, S. P. Novikov, “Algebras of virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces”, Funct. Anal. Appl., 23:1 (1989), 19–33  mathnet  crossref  mathscinet  zmath  isi  scopus
96. B. A. Dubrovin, S. P. Novikov, “Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory”, Russian Math. Surveys, 44:6 (1989), 35–124  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1988
97. I. M. Krichever, S. P. Novikov, “Virasoro–Gel'fand–Fuks type algebras, Riemann surfaces, operator's theory of closed strings”, J. Geom. Phys., 5:4 (1988), 631–661  crossref  mathscinet  zmath  adsnasa  scopus 5
98. B. A. Dubrovin, S. P. Novikov, A. T. Fomenko, Geometria contemporanea. Metodi e applicazioni, Translated from the second Russian edition by Vitalij Panasenko, v. II, Nuova Biblioteca di Cultura. [New Library of Culture], Geometria e topologia delle varietà. [Geometry and topology of manifolds], Editori Riuniti, Rome, 1988 , 367 pp.  mathscinet
99. S. P. Novikov, “Analytical theory of homotopy groups”, Topology and geometry – Rohlin Seminar, Lecture Notes in Math., 1346, Springer, Berlin, 1988, 99–112  crossref  mathscinet 2
100. P. G. Grinevich, S. P. Novikov, “Inverse scattering problem for the two-dimensional Schrödinger operator at a fixed negative energy and generalized analytic functions”, Plasma theory and nonlinear and turbulent processes in physics (Kiev, 1987), v. 1, 2, World Sci. Publishing, Singapore, 1988, 58–85  mathscinet  zmath
101. P. G. Grinevich, S. P. Novikov, “Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I. Energies below the ground state”, Funct. Anal. Appl., 22:1 (1988), 19–27  mathnet  crossref  mathscinet  zmath  isi  scopus

   1987
102. B. A. Dubrovin, S. P. Novikov, A. T. Fomenko, Geometria contemporanea. Metodi e applicazioni, Translated from the second Russian edition by Vitalij Panasenko, v. I, Nuova Biblioteca di Cultura. [New Library of Culture], Geometria delle superfici, dei gruppi di trasformazioni e dei campi. [The geometry of surfaces, transformation groups and fields], Editori Riuniti, Rome, 1987 , 416 pp.  mathscinet
103. S. P. Novikov, A. T. Fomenko, Elementy differentsialnoi geometrii i topologii, Nauka, M., 1987 , 432 pp.  mathscinet
104. S. P. Novikov, “Two-dimensional Schrödinger operator and solitons. 3-dimensional integrable systems”, VIIIth international congress on mathematical physics (Marseille, 1986), World Sci. Publishing, Singapore, 1987, 226–241  mathscinet
105. V. V. Avilov, I. M. Krichever, S. P. Novikov, “Evolyutsiya Uitemovskoi zony v teorii Kortevega–de Friza”, DAN SSSR, 295:2 (1987), 345–349  mathnet  mathscinet  zmath  isi 9
106. V. V. Avilov, S. P. Novikov, “Evolyutsiya Uitemovskoi zony v teorii KdF”, DAN SSSR, 294:2 (1987), 325–329  mathnet  mathscinet  isi 6
107. I. M. Krichever, S. P. Novikov, “Virasoro-type algebras, Riemann surfaces and strings in Minkowsky space”, Funct. Anal. Appl., 21:4 (1987), 294–307  mathnet  crossref  mathscinet  zmath  isi  scopus
108. I. M. Krichever, S. P. Novikov, “Algebras of virasoro type, riemann surfaces and structures of the theory of solitons”, Funct. Anal. Appl., 21:2 (1987), 126–142  mathnet  crossref  mathscinet  zmath  isi  scopus

   1986
109. B. A. Dubrovin, S. P. Novikov, A. T. Fomenko, Sovremennaya geometriya. Metody i prilozheniya, 2-e izd., pererab., Nauka, M., 1986 , 760 pp.  mathscinet
110. S. P. Novikov, M. A. Shubin, “Neravenstvo Morsa i neimanovskie II$_1$-faktory”, DAN SSSR, 289:2 (1986), 289–292  mathnet  mathscinet  zmath  isi 6
111. S. P. Novikov, “Bloch homology. Critical points of functions and closed 1-forms”, Dokl. Math., 33 (1986), 551–555  mathnet  mathscinet  zmath  isi
112. S. P. Novikov, A. P. Veselov, “Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations”, Solitons and coherent structures (Santa Barbara, Calif., 1985), Phys. D, 18, no. 1-3, 1986, 267–273  crossref  mathscinet  zmath  isi  scopus 105
113. S. P. Novikov, “Topology”, Topology – 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 12, VINITI, Moscow, 1986, 5–252  mathnet  mathscinet  zmath
114. S. P. Novikov and M. A. Shubin, “Morse Theory and von Neumann invariants of non-simply-connected manifolds”, Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics, Uspekhi Mat. Nauk, 41:5(251) (1986), 222–223  mathnet

   1985
115. A. P. Veselov, I. M. Krichever, S. P. Novikov, “Two-dimensional periodic Schrödinger operators and Prym's $\theta$-functions”, Geometry today (Rome, 1984), Progr. Math., 60, Birkhäuser Boston, Boston, MA, 1985, 283–301  mathscinet
116. S. P. Novikov, “Differential geometry and the averaging method for field-theoretic systems”, III International Symposium on Selected Topics in Statistical Mechanics (Dubna, 1984), v. II, Ob'ed. Inst. Yadernykh Issled., Dubna, 1985, 106–118  mathscinet
117. B. Doubrovine, S. Novikov, A. Fomenko, Géométrie contemporaine. Méthodes et applications. { 2$^e$ partie.} Géométrie et topologie des variétés. [Geometry and topology of manifolds], Translated from the Russian by Vladimir Kotliar; Reprint of the 1982 translation, Traduit du Russe: Mathématiques. [Translations of Russian Works: Mathematics], “Mir”, Moscow, 1985 , 371 pp.  mathscinet
118. B. Doubrovine, S. Novikov, A. Fomenko, Géométrie contemporaine. Méthodes et applications. { 1$^{re}$ partie.} Géométrie des surfaces, des groupes de transformations et des champs. [Geometry of surfaces, transformation groups and fields], Translated from the Russian by Vladimir Kotliar; Reprint of the 1982 translation, Traduit du Russe: Mathématiques. [Translations of Russian Works: Mathematics], “Mir”, Moscow, 1985 , 438 pp.  mathscinet
119. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov, Modern geometry – methods and applications. Part II. The geometry and topology of manifolds, Translated from the Russian by Robert G. Burns, Graduate Texts in Mathematics, 104, Springer-Verlag, New York, 1985 , xv+430 pp.  crossref  mathscinet  zmath 179
120. S. P. Novikov, “Analiticheskaya teoriya gomotopii. Zhestkost gomotopicheskikh integralov”, DAN SSSR, 283:5 (1985), 1088–1091  mathnet  mathscinet  zmath  isi
121. A. A. Balinskii, S. P. Novikov, “Skobki Puassona gidrodinamicheskogo tipa, frobeniusovy algebry i algebry Li”, DAN SSSR, 283:5 (1985), 1036–1039  mathnet  mathscinet  zmath  isi 13
122. S. P. Novikov, “The geometry of conservative systems of hydrodynamic type. The method of averaging for field-theoretical systems”, Russian Math. Surveys, 40:4 (1985), 85–98  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1986
123. S. P. Novikov, “Algebraic topology at the Steklov Mathematical Institute of the Academy of Sciences of the USSR”, Proc. Steklov Inst. Math., 169 (1986), 27–50  mathnet  mathscinet  zmath

   1985
124. B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “Integrable systems. I”, Dynamical systems – 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4, VINITI, Moscow, 1985, 179–277  mathnet  mathscinet  zmath
125. A. A. Balinskii, S. P. Novikov, “Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras”, Dokl. Akad. Nauk SSSR, 283:5 (1985), 1036–1039  mathnet  mathscinet  zmath

   1984
126. S. P. Novikov, “An averaging method for one-dimensional systems”, Nonlinear and turbulent processes in physics (Kiev, 1983), v. 3, Harwood Academic Publ., Chur, 1984, 1529–1540  mathscinet  adsnasa
127. S. Novikov, S. V. Manakov, L. P. Pitaevskiĭ, V. E. Zakharov, Theory of solitons. The inverse scattering method, Translated from the Russian, Contemporary Soviet Mathematics, Consultants Bureau [Plenum], New York, 1984 , xi+276 pp.  mathscinet  zmath
128. A. P. Veselov, S. P. Novikov, “Konechnozonnye dvumernye operatory Shredingera. Potentsialnye operatory”, DAN SSSR, 279:4 (1984), 784–788  mathnet  mathscinet  mathscinet  zmath  isi 49
129. B. A. Dubrovin, S. P. Novikov, “O skobkakh Puassona gidrodinamicheskogo tipa”, DAN SSSR, 279:2 (1984), 294–297  mathnet  mathscinet  zmath  isi 31
130. A. P. Veselov, S. P. Novikov, “Konechnozonnye dvumernye potentsialnye operatory Shrëdingera. Yavnye formuly i evolyutsionnye uravneniya”, DAN SSSR, 279:1 (1984), 20–24  mathnet  mathscinet  mathscinet  zmath  isi 60
131. B. A. Dubrovin, S. P. Novikov, A. T. Fomenko, Sovremennaya geometriya. Metody teorii gomologii, Nauka, M., 1984 , 344 pp.  mathscinet
132. S. P. Novikov, “Algebro-topological approach to reality problems. Real action variables in the theory of finite-gap solutions of the Sine-Gordon equations”, Differential geometry, Lie groups and mechanics. Part VI, Zap. Nauchn. Sem. LOMI, 133, “Nauka”, Leningrad. Otdel., Leningrad, 1984, 177–196  mathnet  mathscinet  zmath
133. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov, Modern geometry – methods and applications. Part I. The geometry of surfaces, transformation groups, and fields, Translated from the Russian by Robert G. Burns, Graduate Texts in Mathematics, 93, Springer-Verlag, New York, 1984 , xv+464 pp.  crossref  mathscinet  zmath 207
134. S. P. Novikov, I. A. Taimanov, “Periodicheskie ekstremali mnogoznachnykh ili ne vsyudu polozhitelnykh funktsionalov”, DAN SSSR, 274:1 (1984), 26–28  mathnet  mathscinet  zmath  isi 10
135. S. P. Novikov, “The analytic generalized Hopf invariant. Many-valued functionals”, Russian Math. Surveys, 39:5 (1984), 113–124  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1986
136. S. P. Novikov, “Critical points and level surfaces of multivalued functions”, Proc. Steklov Inst. Math., 166 (1986), 223–232  mathnet  mathscinet  zmath

   1985
137. A. P. Veselov, S. P. Novikov, “Poisson brackets and complex tori”, Proc. Steklov Inst. Math., 165 (1985), 53–65  mathnet  mathscinet  zmath

   1984
138. S. P. Novikov, I. A. Taimanov, “Periodic extremals of multivalued or not everywhere positive functionals”, Dokl. Akad. Nauk SSSR, 274:1 (1984), 26–28  mathnet  mathscinet  zmath

   1983
139. S. P. Novikov, “Multivalued functionals in modern mathematical physics”, Proceedings of the IUTAM-ISIMM symposium on modern developments in analytical mechanics, Vol. II (Torino, 1982), Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur., 117, suppl. 2, 1983, 635–644  mathscinet
140. B. A. Dubrovin, S. P. Novikov, “Gamiltonov formalizm odnomernykh sistem gidrodinamicheskogo tipa i metod usredneniya Bogolyubova–Uizema”, DAN SSSR, 270:4 (1983), 781–785  mathnet  mathscinet  mathscinet  zmath  isi 86

   1985
141. S. P. Novikov, “Two-dimensional Schrödinger operators in periodic fields”, J. Soviet Math., 28:1 (1985), 1–20  mathnet  crossref  mathscinet  zmath  scopus

   1982
142. B. Doubrovine, S. Novikov, A. Fomenko, Géométrie contemporaine. Méthodes et applications. II. Géométrie et topologie des variétés, Translated from the Russian by Vladimir Kotliar, “Mir”, Moscow, 1982 , 371 pp.  mathscinet
143. B. Doubrovine, S. Novikov, A. Fomenko, Géométrie contemporaine. Méthodes et applications. I. Géométrie des surfaces, des groupes de transformations et des champs, Translated from the Russian by Vladimir Kotliar, “Mir”, Moscow, 1982 , 438 pp.  mathscinet
144. B. A. Dubrovin, S. P. Novikov, “Algebrogeometricheskie skobki Puassona dlya veschestvennykh konechnozonnykh reshenii uravneniya sine-Gordon i nelineinogo uravneniya Shrëdingera”, DAN SSSR, 267:6 (1982), 1295–1300  mathnet  mathscinet  mathscinet  zmath  isi 5
145. A. P. Veselov, S. P. Novikov, “O skobkakh Puassona, sovmestimykh s algebraicheskoi geometriei i dinamikoi KdF na mnozhestve konechnozonnykh potentsialov”, DAN SSSR, 266:3 (1982), 533–537  mathnet  mathscinet  mathscinet  zmath  zmath  isi 4
146. S. P. Novikov, “Hamiltonian formalism and variational-topological methods for finding periodic trajectories of conservative dynamical systems”, Mathematical physics reviews, v. 3, Soviet Sci. Rev. Sect. C Math. Phys. Rev., 3, Harwood Academic Publ., Chur, 1982, 3–51  mathscinet
147. S. P. Novikov, “Kommutiruyuschie operatory ranga $l>1$ s periodicheskimi koeffitsientami”, DAN SSSR, 263:6 (1982), 1311–1314  mathnet  mathscinet  mathscinet  zmath  isi 4
148. S. P. Novikov, P. G. Grinevich, “Spectral theory of commuting operators of rank two with periodic coefficients”, Funct. Anal. Appl., 16:1 (1982), 19–20  mathnet  crossref  mathscinet  zmath  isi  scopus
149. S. P. Novikov, “The Hamiltonian formalism and a many-valued analogue of Morse theory”, Russian Math. Surveys, 37:5 (1982), 1–56  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
150. S. P. Novikov, B. A. Dubrovin and I. M. Krichever, “Topological and algebraic-geometrical methods in contemporary mathematical physics”, Soviet Scientific Reviews, 3 (1982), 1–156

   1981
151. S. P. Novikov, “Mnogoznachnye funktsii i funktsionaly. Analog teorii Morsa”, DAN SSSR, 260:1 (1981), 31–35  mathnet  mathscinet  mathscinet  zmath  isi 30
152. S. P. Novikov, “Magnito-blokhovskie funktsii i vektornye rassloeniya. Tipichnye zakony dispersii i ikh kvantovye chisla”, DAN SSSR, 257:3 (1981), 538–543  mathnet  mathscinet  mathscinet  zmath  isi 11
153. I. M. Krichever, S. P. Novikov, “Algebraic geometry and mathematical physics”, Proc. USA-USSR Conf., eds. V. E. Zakharov, S. V. Manakov, North-Holland, Amsterdam, 1981
154. S. P. Novikov, “Variational methods and periodic solutions of Kirchhoff-type equations. II”, Funct. Anal. Appl., 15:4 (1981), 263–274  mathnet  crossref  mathscinet  zmath  isi  scopus
155. S. P. Novikov, I. Shmel'tser, “Periodic solutions of Kirchhoff's equations for the free motion of a rigid body in a fluid and the extended theory of Lyusternik–Shnirel'man–Morse (LSM). I”, Funct. Anal. Appl., 15:3 (1981), 197–207  mathnet  crossref  mathscinet  isi  scopus
156. S. P. Novikov, “Kirchhoff type equations and many-valued functions and functionals. Analogue of the Morse-Lyusternik-Shnirel'man theory and periodic orbits in a magnetic field”, Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics, Uspekhi Mat. Nauk, 36:5(221) (1981), 215–224  mathnet

   1980
157. V. G. Drinfel'd, I. M. Krichever, Yu. I. Manin, S. P. Novikov, “Methods of algebraic geometry in contemporary mathematical physics”, Mathematical physics reviews, v. 1, Soviet Sci. Rev. Sect. C: Math. Phys. Rev., 1, Harwood Academic, Chur, 1980, 1–54  mathscinet
158. B. A. Dubrovin, S. P. Novikov, “Ground states of a two-dimensional electron in a periodic magnetic field”, J. Experiment. Teoret. Phys., 52:3 (1980), 511–516  mathscinet  adsnasa
159. B. A. Dubrovin, S. P. Novikov, “Osnovnye sostoyaniya v periodicheskom pole. Magnito-blokhovskie funktsii i vektornye rassloeniya”, DAN SSSR, 253:6 (1980), 1293–1297  mathnet  mathscinet  mathscinet  zmath  isi 10
160. V. E. Zakharov, S. V. Manakov, S. P. Novikov, L. P. Pitaevskii, Teoriya solitonov. Metod obratnoi zadachi, eds. S. P. Novikov, Nauka, M., 1980 , 320 pp.  mathscinet
161. S. P. Novikov, “A method of solving the periodic problem for the KdV equations and its generalization”, Solitons, Topics in Current Physics, 17, eds. R. K. Bullough, P. J. Caudrey, Springer, Berlin, 1980, 325–338  crossref
162. S. P. Novikov, “Linear operators and integrable Hamiltonian systems”, Proc. Intern. Congr. Math. (Helsinki, 1978), Helsinki, 1980
163. I. M. Krichever, S. P. Novikov, “Holomorphic bundles over algebraic curves and non-linear equations”, Russian Math. Surveys, 35:6 (1980), 53–79  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1979
164. S. P. Novikov, “Algebraicheskaya geometriya i matematicheskaya fizika”, Tr. konferentsii po fundamentalnym problemam matematiki i teoreticheskoi fiziki, posvyaschennoi 70-letiyu so dnya rozhdeniya akademika N. N. Bogolyubova, Ob'edinennyi Institut Yadernykh issledovanii, Dubna, 1979, 459–473
165. I. M. Krichever, S. P. Novikov, “Golomorfnye rassloeniya i nelineinye uravneniya. Konechnozonnye resheniya ranga 2”, DAN SSSR, 247:1 (1979), 33–37  mathnet  mathscinet  mathscinet  zmath  isi 11
166. B. A. Dubrovin, S. P. Novikov, A. T. Fomenko, Sovremennaya geometriya. Metody i prilozheniya, Nauka, M., 1979 , 760 pp.  mathscinet
167. V. L. Golo, M. I. Monastyrsky, S. P. Novikov, “Solutions to the Ginzburg-Landau equations for planar textures in superfluid $^{3}$He”, Comm. Math. Phys., 69:3 (1979), 237–246  crossref  mathscinet  adsnasa  isi  scopus 5
168. O. I. Bogoyavlenskii, S. P. Novikov, “Metody kachestvennoi teorii dinamicheskikh sistem v obschei teorii otnositelnosti”, Nelineinye volny, Nauka, M., 1979, 164–176

   1983
169. O. I. Bogoyavlenskii, S. P. Novikov, “Finite-dimensional oscillatory models in the general relativity theory and in gas dynamics”, J. Soviet Math., 21:3 (1983), 254–260  mathnet  crossref  mathscinet  zmath  scopus

   1978
170. S. P. Novikov, “New applications of algebraic geometry to nonlinear equations and inverse problems”, Nonlinear evolution equations solvable by the spectral transform, Internat. Sympos. (Accad. Lincei, Rome, 1977), Res. Notes in Math., 26, Pitman, Boston, Mass., 1978, 84–96  mathscinet
171. S. P. Novikov, “Periodic solitons and algebraic geometry”, Mathematical problems in theoretical physics, Proc. Internat. Conf. (Univ. Rome, Rome, 1977), Lecture Notes in Phys., 80, Springer, Berlin, 1978, 222–228  crossref  mathscinet  adsnasa
172. S. P. Novikov, “Metod resheniya periodicheskoi zadachi dlya uravnenii Kortevega–de Friza i ego obobschenii”, Tr. Vses. konf. po uravneniyam s chastnymi proizvodnymi, posvyasch. 75-letiyu so dnya rozhd. akad. I. G. Petrovskogo, Izd-vo MGU, M., 1978, 184–185
173. S. P. Novikov, “A method for solving the periodic problem for the KdV equation and its generalizations”, Conference on the Theory and Applications of Solitons (Tucson, Ariz., 1976), Rocky Mountain J. Math., 8, no. 1-2, 1978, 83–93  crossref  mathscinet  zmath  scopus 4
174. I. M. Krichever, S. P. Novikov, “Holomorphic bundles over Riemann surfaces and the Kadomtsev–Petviashvili equation. I”, Funct. Anal. Appl., 12:4 (1978), 276–286  mathnet  crossref  mathscinet  zmath  scopus

   1976
175. B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “Uravnenie Shredingera v periodicheskom pole i rimanovy poverkhnosti”, DAN SSSR, 229:1 (1976), 15–18  mathnet  mathscinet  mathscinet  zmath 66
176. O. I. Bogoyavlenskii, S. P. Novikov, “The relationship between Hamiltonian formalisms of stationary and nonstationary problems”, Funct. Anal. Appl., 10:1 (1976), 8–11  mathnet  crossref  mathscinet  zmath  scopus
177. O. I. Bogoyavlenskii, S. P. Novikov, “Homogeneous models in general relativity and gas dynamics”, Russian Math. Surveys, 31:5 (1976), 31–48  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
178. B. A. Dubrovin, V. B. Matveev, S. P. Novikov, “Non-linear equations of Korteweg–de Vries type, finite-zone linear operators, and Abelian varieties”, Russian Math. Surveys, 31:1 (1976), 59–146  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

   1975
179. O. I. Bogoyavlenskii, S. P. Novikov, “Kachestvennaya teoriya odnorodnykh kosmologicheskikh modelei”, Tr. seminara im. I. G. Petrovskogo, 1, Izd-vo MGU, M., 1975, 7–43  mathscinet

   1974
180. B. A. Dubrovin, S. P. Novikov, “Periodicheskaya zadacha dlya uravnenii Kortevega–de Friza i Shturma–Liuvillya. Ikh svyaz s algebraicheskoi geometriei”, DAN SSSR, 219:3 (1974), 531–534  mathnet  mathscinet  mathscinet  zmath 21
181. B. A. Dubrovin, S. P. Novikov, “Periodic and conditionally periodic analogs of the many-soliton solutions of the Korteweg–de Vries equation”, Soviet Physics JETP, 40:6 (1974), 1058–1063  mathscinet  adsnasa
182. S. P. Novikov, “The periodic problem for the Korteweg–de Vries equation”, Funct. Anal. Appl., 8:3 (1974), 236–246  mathnet  crossref  mathscinet  zmath  scopus

   1973
183. O. I. Bogoyavlenskiĭ, S. P. Novikov, “Singularities of the cosmological model of the Bianchi IX type according to the qualitative theory of differential equations”, Soviet Physics JETP, 37 (1973), 747–755  mathscinet  adsnasa  adsnasa

   1972
184. S. P. Novikov, “O nekotorykh svoistvakh kosmologicheskikh modelei”, ZhETF, 62:6 (1972), 1977–1990  adsnasa

   1971
185. Novikov S. P., “Analogues hermitiens de la $K$-théorie”, Actes du Congrès International des Mathématiciens (Nice, 1970), Gauthier-Villars, Paris, 1971, 39–45  mathscinet
186. V. M. Buchstaber, A. S. Mishchenko, S. P. Novikov, “Formal groups and their role in the apparatus of algebraic topology”, Russian Math. Surveys, 26:2 (1971), 63–90  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
187. V. M. Buchstaber, S. P. Novikov, “Formal groups, power systems and Adams operators”, Math. USSR-Sb., 13:1 (1971), 80–116  mathnet  crossref  mathscinet  zmath  scopus

   1970
188. S. P. Novikov, “Pontrjagin classes, the fundamental group and some problems of stable algebra”, Essays on Topology and Related Topics, Mémoires dédiés à Georges de Rham, Springer, New York, 1970, 147–155  crossref  mathscinet 12
189. S. P. Novikov, “Algebraic construction and properties of hermitian analogs of $K$-theory over rings with involution from the viewpoint of hamiltonian formalism. applications to differential topology and the theory of characteristic classes. I”, Math. USSR-Izv., 4:2 (1970), 257–292  mathnet  crossref  mathscinet  zmath  scopus
190. S. P. Novikov, “Algebraic construction and properties of Hermitian analogs of $K$-theory over rings with involution from the viewpoint of Hamiltonian formalism. applications to differential topology and the theory of characteristic classes. II”, Math. USSR-Izv., 4:3 (1970), 479–505  mathnet  crossref  mathscinet  zmath  scopus

   1968
191. S. P. Novikov, “Pontrjagin classes, the fundamental group and some problems of stable algebra”, Proc. Internat. Congr. Math. (Moscow, 1966), Amer. Math. Soc., Providence, RI, 1968, 172–179  mathscinet  zmath
192. S. P. Novikov, “Adams operators and fixed points”, Math. USSR-Izv., 2:6 (1968), 1193–1211  mathnet  crossref  mathscinet  zmath

   1967
193. S. P. Novikov, “Koltsa operatsii i spektralnye posledovatelnosti tipa Adamsa v ekstraordinarnykh teoriyakh kogomologii, $U$-kobordizmy i $K$-teoriya”, DAN SSSR, 172 (1967), 33–36  mathnet  mathscinet  mathscinet  zmath 2
194. S. P. Novikov, “The methods of algebraic topology from the viewpoint of cobordism theory”, Math. USSR-Izv., 1:4 (1967), 827–913  mathnet  crossref  mathscinet  zmath

   1966
195. S. P. Novikov, Soviet Math. Dokl., 7 (1966), 1508–1512  mathnet  mathscinet  mathscinet  zmath
196. S. P. Novikov, B. Yu. Sternin, “Traces of elliptic operators on submanifolds and $K$K-theory”, Soviet Math. Dokl., 7 (1966), 1373–1376  mathnet  mathscinet  mathscinet  zmath
197. S. P. Novikov, “Kharakteristicheskie klassy Pontryagina”, Mezhd. kongr. mat., Tezisy dokladov, M., 1966, 158–159
198. S. P. Novikov, “The Cartan–Serre theorem and intrinsic homology”, Russian Math. Surveys, 21:5 (1966), 209–224  mathnet  crossref  mathscinet  zmath  adsnasa
199. S. P. Novikov, “On manifolds with free abelian fundamental group and their application”, Izv. Akad. Nauk SSSR Ser. Mat., 30:1 (1966), 207–246  mathnet  mathscinet  zmath

   1965
200. S. P. Novikov, “Topologicheskaya invariantnost ratsionalnykh klassov Pontryagina”, DAN SSSR, 163:3 (1965), 298–300  mathnet  mathscinet  mathscinet  zmath 4
201. S. P. Novikov, “Gomotopicheskaya i topologicheskaya invariantnost nekotorykh ratsionalnykh klassov Pontryagina”, DAN SSSR, 162:6 (1965), 1248–1251  mathnet  mathscinet  mathscinet  zmath 2
202. S. P. Novikov, “Struktury na mnogoobraziyakh”, Trudy 4-i Vses. Topol. Konf. (Tashkent, 1963), 1965, 98–120
203. S. P. Novikov, “New ideas in algebraic topology ($K$-theory and its applications)”, Russian Math. Surveys, 20:3 (1965), 37–62  mathnet  crossref  mathscinet  zmath  adsnasa
204. S. P. Novikov, “Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds. I”, Izv. Akad. Nauk SSSR Ser. Mat., 29:6 (1965), 1373–1388  mathnet  mathscinet  zmath
205. S. P. Novikov, “Differentiable sphere bundles”, Izv. Akad. Nauk SSSR Ser. Mat., 29:1 (1965), 71–96  mathnet  mathscinet  zmath
206. S. P. Novikov, “Topology of foliations”, Trans. Mosc. Math. Soc., 14 (1965), 268–304  mathnet  mathscinet  zmath

   1964
207. S. P. Novikov, “Smooth foliations on three-dimensional manifolds”, Russian Math. Surveys, 19:6 (1964), 79–81  mathnet  crossref  mathscinet  zmath  adsnasa
208. S. P. Novikov, I. I. Pyatetskii-Shapiro, I. R. Shafarevich, “The main trends of algebraic topology and algebraic geometry”, Russian Math. Surveys, 19:6 (1964), 67–73  mathnet  crossref  mathscinet  zmath  adsnasa
209. S. P. Novikov, “Homotopically equivalent smooth manifolds. I”, Izv. Akad. Nauk SSSR Ser. Mat., 28:2 (1964), 365–474  mathnet  mathscinet  zmath
210. M. I. Vishik, S. P. Novikov, M. M. Postnikov, “The Gor'kii Mathematical Seminar on Homotopic Topology”, Uspekhi Mat. Nauk, 19:6(120) (1964), 237–238  mathnet
211. S. P. Novikov, “Foliations of codimension 1”, Sov. Math. Dokl., 1964, no. 5, 1023–1025  mathnet  mathscinet  mathscinet  zmath
212. S. P. Novikov, “Foliations of codimension 1 on manifolds”, Sov. Math. Dokl., 5 (1964), 540–544  mathnet  mathscinet  mathscinet  zmath

   1963
213. S. P. Novikov, “Nekotorye svoistva mnogoobrazii razmernosti $4k+2$”, DAN SSSR, 153:5 (1963), 1005–1008  mathnet  mathscinet  mathscinet  zmath 1
214. S. P. Novikov, “Gomotopicheskie svoistva gruppy diffeomorfizmov sfery”, DAN SSSR, 148:1 (1963), 32–35  mathnet  mathscinet  mathscinet  zmath
215. S. P. Novikov, “Differential topology”, Itogi Nauki. Algebra. Topol. 1962, VINITI, Moscow, 1963, 134–160  mathnet  mathscinet  zmath

   1962
216. S. P. Novikov, “O diffeomorfizme odnosvyaznykh mnogoobrazii”, DAN SSSR, 143:5 (1962), 1046–1049  mathnet  mathscinet  mathscinet  zmath 1
217. S. P. Novikov, “Smooth manifolds of a general homotopy type”, Intern. Cong. Math., section 4, Stockholm, 1962, 139
218. S. P. Novikov, “Homotopy properties of Thom complexes”, Mat. Sb. (N.S.), 57(99):4 (1962), 407–442  mathnet  mathscinet  zmath

   1961
219. S. P. Novikov, “O vlozhenii odnosvyaznykh mnogoobrazii v evklidovo prostranstvo”, DAN SSSR, 138:4 (1961), 775–778  mathnet  mathscinet  mathscinet  zmath 1

   1960
220. S. P. Novikov, “Some problems in the topology of manifolds connected with the theory of Thom spaces”, Soviet Math. Dokl., 1 (1960), 717–720  mathnet  mathscinet  mathscinet  zmath

   1959
221. S. P. Novikov, “O kogomologiyakh algebry Stinroda”, DAN SSSR, 128:5 (1959), 893–895  hlocal  mathscinet  zmath

Presentations in Math-Net.Ru
1. Наша совместная работа с Борисом Дубровиным
S. P. Novikov
International Conference "Nonlinear Waves and Frobenius Structures in Geometry and Physics" Dedicated to the Memory of Boris Dubrovin
November 17, 2021 11:20   
2. С.И.Адян и алгоритмические проблемы топологии
S. P. Novikov
Adian 90: Conference on Mathematical Logic, Algebra, and Computation
July 6, 2021 11:00   
3. Multivalued functions and functionals
S. P. Novikov
International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday
January 22, 2020 15:00   
4. Closed forms and multivalued functionals
S. P. Novikov
SIMC Open
December 25, 2019 11:00   
5. Открытие
V. M. Buchstaber, D. V. Treschev, S. P. Novikov
International conference "Discrete Mathematics and Mathematical Crystallography" dedicated to the 80th anniversary of Mikhail Ivanovich Stogrin
September 26, 2018 14:00   
6. Геометрия Ферми-структур
S. P. Novikov
Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018
July 26, 2018 11:15   
7. Дифференциальные 1-формы. Лекция
S. P. Novikov
Summer School "Contemporary Mathematics", 2016
July 28, 2016 11:15   
8. Дифференциальные 1-формы
S. P. Novikov

June 27, 2016 10:45   
9. Сингулярные солитоны. Лекция
S. P. Novikov
Summer School "Contemporary Mathematics", 2015
July 23, 2015 11:15   
10. Дискретные интегрируемые системы
S. P. Novikov

June 23, 2015 12:00   
11. Singular Algebrogeometric Operators and Spectral Theory
S. P. Novikov
Weekly seminar of Laboratory of algebraic geometry
January 15, 2015 17:00
12. Singular algebrogeometric operators and spectral theory
S. P. Novikov
Characteristic classes and intersection theory
January 15, 2015 17:00
13. Сингулярные солитоны
S. P. Novikov
Conference "Moscow Mathematical Society and Lomonosov Moscow State University" dedicated to the 150th anniversary of Moscow Mathematical Society
December 23, 2014 18:35
14. Singular solutions and spectral theory
S. P. Novikov
The Seventh International Conference on Differential and Functional Differential Equations
August 23, 2014 11:45   
15. Singular Soliton Operators and Indefinite Metrics
S. P. Novikov
I. M. Gelfand and Modern Mathematics
December 17, 2013 11:00   
16. Discrete triangular systems
S. P. Novikov
3-rd Summer School on Geometric Methods in Mathematical Physics
June 26, 2013 14:10   
17. Вступительное слово
S. P. Novikov
International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday
June 18, 2013 10:05   
18. Laplace transformation for a discrete Schroedinger operator, $SL(2)$ connections and electrical circuits
P. G. Grinevich, S. P. Novikov
International conference "Geometry, Topology, Integrable Systems" in honour of S. P. Novikovs 75th birthday
June 17, 2013 15:00   
19. SL(2) связности, самосопряженные дискретные операторы и электрические цепи
P. G. Grinevich, S. P. Novikov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
June 6, 2013 14:00
20. To the memory of Vladimir (Dima) Arnold
S. P. Novikov
International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold
December 19, 2012 11:35   
21. Discrete connections and operators on two-dimensional manifolds
S. P. Novikov
Steklov Mathematical Institute Seminar
July 19, 2012 16:00   
22. Дискретные $SL_2$ связности и операторы
S. P. Novikov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
July 18, 2012 14:00
23. New discretization of complex analysis
Sergey Novikov
International conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone (1890–1980)
August 17, 2010 11:30   
24. Теория рассеяния на графах
S. P. Novikov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
October 7, 2009 18:30
25. Graphs and quantum mechanics: symplectic ideas
S. P. Novikov
Summer School "Contemporary Mathematics", 2009
July 23, 2009 11:15   
26. New Discretization of Complex Analysis (DCA)
S. P. Novikov
The International Conference "Contemporary Mathematics"
June 12, 2009 15:00   
27. Сингулярные конечнозонные операторы и индефинитные метрики. II
S. P. Novikov, P. G. Grinevich
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 8, 2009
28. Сингулярные конечнозонные операторы и индефинитные метрики. I
S. P. Novikov, P. G. Grinevich
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 2, 2009
29. Непрерывные аналоги базисов Кричевера–Новикова и спектральное преобразование для сингулярных конечнозонных потенциалов
P. G. Grinevich, S. P. Novikov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
February 28, 2009
30. Дискретный комплексный анализ и плоскость Лобачевского
S. P. Novikov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
January 14, 2009 12:30
31. Discrete complex analysis and the Lobachevsky plane
S. P. Novikov
Summer School "Contemporary Mathematics", 2008
July 26, 2008 09:30   
32. Discretization of complex analysis
S. P. Novikov, I. A. Dynnikov
International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin
June 22, 2008 12:20   
33. Discrete completely integrable systems and complex analysis
S. P. Novikov
Steklov Mathematical Institute Seminar
May 22, 2008 16:00   
34. Discrete systems and complex analysis
S. P. Novikov
International conference "Analysis and Singularities" dedicated to 70th anniversary of Vladimir Igorevich Arnold
August 20, 2007 12:10   
35. A new discrete model for complex analysis
S. P. Novikov
Summer School "Contemporary Mathematics", 2007
July 22, 2007 15:30   
36. Graphs, complete integrability and discrete complex analysis
S. P. Novikov
Leonhard Euler Congress - Euler Festival
June 12, 2007 11:30   
37. Гамильтоновы системы на римановых поверхностях. Лекция
S. P. Novikov
Summer School "Contemporary Mathematics", 2005
July 21, 2005 11:15   
38. Гамильтоновы системы и квазипериодические функции на плоскости
S. P. Novikov
Meetings of the Moscow Mathematical Society
December 28, 2004
39. Discrete connections on simplicial manifolds
S. P. Novikov
International conference "Geometric Topology, Discrete Geometry and Set Theory" dedicated to the centennial of Ljudmila Vsevolodovna Keldysh
August 24, 2004 09:00   
40. Квазипериодические функции и топология
S. P. Novikov
Summer School "Contemporary Mathematics", 2004
July 20, 2004 11:15   
41. Дискретный анализ и геометрия
S. P. Novikov
Summer School "Contemporary Mathematics", 2003
July 20, 2003 11:15   
42. Topology and physics
S. P. Novikov
Steklov Mathematical Institute Seminar
June 27, 2002
43. Two-dimensional Schrödinger operator, solitons and Laplace chains
S. P. Novikov
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
December 13, 1995

Books in Math-Net.Ru
  1. Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 305, ed. S. P. Novikov, A. A. Gaifullin, T. E. Panov, A. A. Ayzenberg, 2019, 374 с.
    http://mi.mathnet.ru/book1762
  2. Algebraic topology, convex polytopes, and related topics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 286, ed. S. P. Novikov, A. G. Sergeev, 2014, 367 с.
    http://mi.mathnet.ru/book1528
  3. Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth, Trudy Mat. Inst. Steklova, 275, ed. S. P. Novikov, E. F. Mishchenko, 2011, 304 с.
    http://mi.mathnet.ru/book1360
  4. S. P. Novikov, Algebraic Topology, Sovrem. Probl. Mat., 4, 2004, 46 с.
    http://mi.mathnet.ru/book473
  5. Topology and its applications, Proceedings of the International topology conference (Baku, October 3–8, 1987), Trudy Mat. Inst. Steklov., 193, ed. E. F. Mishchenko, S. P. Novikov, 1992, 232 с.
    http://mi.mathnet.ru/book1114
  6. Discrete geometry and topology, Dedicated to the 100th anniversary of the birth of Boris Nikolaevich Delone, Trudy Mat. Inst. Steklov., 196, ed. E. F. Mishchenko, S. P. Novikov, 1991, 176 с.
    http://mi.mathnet.ru/book1110

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