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Mishchenko, Alexandr Sergeevich

Total publications: 138 (128)
in MathSciNet: 126 (119)
in zbMATH: 94 (89)
in Web of Science: 38 (32)
in Scopus: 49 (48)
Cited articles: 84
Citations in Math-Net.Ru: 528
Citations in Web of Science: 180
Citations in Scopus: 452
Presentations: 10

Number of views:
This page:9611
Abstract pages:26912
Full texts:8347
References:1299
Mishchenko, Alexandr Sergeevich
Professor
Doctor of physico-mathematical sciences (1974)
Birth date: 18.08.1941
E-mail: ,
Website: http://higeom.math.msu.su/people/asmish
Keywords: geometry, topology, algebraic topology, non commutative geometry, topology of manifolds, operators algebras, $C^*$-algebras, elliptic opersators.

Subject:

Calculation of $K$-groups for the Eilenberg–McLane complexes. The sufficient and nesessary conditions for existence of elements of infinite filtration in complex $K$-theory was found in the terms of the Chern character. Calculation of the bordism groups of almost-complex manifolds with action of the group $Z_p$ in the terms of the local properties of stationary points. Construction of symmetric signature for nonsimply-connected manifolds as an element of the Wall group of the fundamental group of the manifold. The invariance of the symmetric signature both under the homotopy equivalence and bordisms was established. The formula for the obstruction for existence of a surgery of normal map to a homotopy equivalence was established modulo torsion. Theory of Fredholm representations of discrete groups and the proof of the Novikov conjecture for non-positivly curved manifolds. The index theory of elliptic operators over $C^*$-algebras and the Hirzebruch formula for non-simply connected manifolds. Proof of integrability of dynamic systems on the Lie groups and symmetric spaces. Proof the theorem that existence of a finite dimensional Lie algebra $F$ of the first integrals for a Hamiltonian dynamical system on a manifold $M$ such that $\dim M=\dim F+\index F$ implies the completely integrability of the dynamical system. Construction of homotopical invariants of the Lagrangian manifolds which are responsible for existence of the complex Maslov operator on the Lagrangian manifolds. Analitical solution of the linear differential game of pursuit. Estimating of number of stationary solutions of a differential stochastic equation. The theory analytical torsion over $C^*$-algebras was developed. Relations between asymptotic and Fredholm representations were established. Local combinatorial version of the Hirzebruch formula was developed.

Biography

Graduated from Departmet of Mechanics and Mathematics of M. V. Lomonosov Moscow State University (MSU) in 1965 (Chief of Higher Geometry and Topology). Ph.D. thesis was defended in 1968. D.Sci thesis was defended in 1973. A list of my papers contains more than 100 titles. Since 1968 I and my pupils have led the research seminars at MSU on geometry and topology.

In 1971 I was awarded the prize of the Moscow Mathematical Society for the paper on $K$-Theory of infinite dimensional $CW$-complexes (jointly with V. M. Buhshtaber). In 1996 I was awarded the State Prize of Russian federation in the area of sciences and technique for a cicle of papers "Investigations of invariants of smooth manifolds and Hamiltonian dynamic systems" (jointly with A. T. Fomenko). In 2001 I was awarded the M. V. Lomonosov prize of Moscow State University for pedagogical activity.

   
Main publications:
  1. A. S. Mischenko, I. M. Gelfand, “Kvadratichnye formy nad kommutativnymi gruppovymi koltsami i $K$-teoriya”, Funkts. analiz i ego prilozheniya, 3:4 (1969), 28–33  mathnet  mathscinet  zmath
  2. A. S. Mischenko, “Gomotopicheskie invarianity neodnosvyaznykh mnogoobrazii. 1. Ratsionalnye invarianty”, Izvestiya AN SSSR. Ser. matem., 34:3 (1970), 501–514  mathnet  mathscinet  zmath
  3. A. S. Mischenko, “Beskonechnomernye predstavleniya diskretnykh grupp i vysshie signatury”, Izvestiya AN SSSR. Ser. matem., 38:1 (1974), 81–106  mathnet  mathscinet  zmath
  4. A. S. Mischenko, A. T. Fomenko, “Obobschennyi metod Liuvillya integrirovaniya gamiltonovykh sistem”, Funkts. analiz i ego prilozheniya, 12:2 (1978), 46–56  mathnet  mathscinet  zmath
  5. A. S. Mischenko, “Lokalnaya kombinatornaya formula Khirtsebrukha”, Trudy MIAN, 224, 1999, 249–263  mathnet  mathscinet  zmath

http://www.mathnet.ru/eng/person8599
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:mishchenko.alexander-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/190964
http://elibrary.ru/author_items.asp?authorid=120571
https://www.researchgate.net/profile/A_Mishchenko3

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



   2020
1. E. F. Mishchenko, A. S. Mishchenko, M. I. Zelikin, V. M. Imaykin, “On the Adequacy of Mathematical Models in Control Theory, Physics and Ecology, Finished”, Math. Ed., 2020, no. 1(93), 2–14  mathnet

   2019
2. A. A. Arutyunov, A. S. Mishchenko, “A smooth version of Johnson's problem on derivations of group algebras”, Sb. Math., 210:6 (2019), 756–782  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus (cited: 6)  scopus (cited: 6)
3. E. F. Mishchenko, A. S. Mishchenko, M. I. Zelikin, “On the Adequacy of Mathematical Models in Control Theory, Physics and Ecology”, Math. Ed., 2019, no. 4(92), 2–16  mathnet

   2016
4. A. A. Arutyunov, A. S. Mishchenko, A. I. Shtern, “Derivations of group algebras”, Fundam. Prikl. Mat., 21:6 (2016), 65–78  mathnet

   2017
5. A. S. Mishchenko, Xiaoyu Li, “Transitive Lie algebroids. Categorical point of view”, J. Math. Sci., 223:6 (2017), 739–755  mathnet  crossref  mathscinet  elib  elib  elib
6. E. A. Vilkul, A. O. Ivanov, A. S. Mishchenko, Th. Yu. Popelenskii, A. A. Tuzhilin, K. V. Shaytan, “Analyzing the data bank of proteins' space structures (PDB): a geometrical approach”, J. Math. Sci., 225:4 (2017), 555–564  mathnet  crossref  mathscinet  elib  elib  elib

   2013
7. A. A. Arutyunov, A. S. Mishchenko, “Reduction of the Calculus of Pseudodifferential Operators on a Noncompact Manifold to the Calculus on a Compact Manifold of Doubled Dimension”, Math. Notes, 94:4 (2013), 455–469  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  elib  elib  scopus  scopus
8. Xiaoyu Li, A. S. Mishchenko, Description of coupling in the category of transitive Lie algebroids, 2013 , 13 pp., arXiv: 1310.5824  adsnasa
9. Xiaoyu Li, A. S. Mishchenko, The existence of coupling in the category of transitive Lie algebroid, 2013 , 8 pp., arXiv: 1306.5449  adsnasa
10. A. A. Arutyunov, A. S. Mishchenko, “Reduction of PDO calculus on a noncompact manifold to a double-dimensional compact manifold”, Dokl. Math., 88:1 (2013), 427–430  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus  scopus

   2012
11. A. S. Mishchenko, XiaoYu Li, Comparison of categorical characteristic classes of transitive Lie algebroid with Chern-Weil homomorphism, 2012 , 13 pp., arXiv: 1208.6564  adsnasa

   2011
12. M. Frank, A. S. Mishchenko, A. A. Pavlov, “Orthogonality-preserving, $C^*$-conformal and conformal module mappings on Hilbert $C^*$-modules”, J. Funct. Anal., 260:2 (2011), 327–339  crossref  mathscinet  zmath  isi (cited: 10)  elib (cited: 5)  scopus (cited: 10)
13. V. K. Bozhenko, A. O. Ivanov, A. S. Mishchenko, A. A. Tuzhilin, A. M. Shishkin, Determination of different biological factors on the base of dried blood spot technology, 2011 , arXiv: 1101.2576  adsnasa
14. A. S. Mishchenko, J. Ribeiro, Generalization of the Sullivan construction for transitive Lie algebroids, 2011 , arXiv: 1102.5698  adsnasa
15. A. S. Mishchenko, Characteristic classes of transitive Lie algebroids. Categorical point of view, 2011 , 52 pp., arXiv: 1111.6823  adsnasa
16. A. S. Mishchenko, Quitzeh Morales Meléndez, Bordisms of manifolds with proper action of a discrete group: signatures and descriptions of $G$-bundles, 2011 , 30 pp., arXiv: 1112.2104  adsnasa
17. A. S. Mischenko, K. Morales Melendes, “Opisanie $G$-rassloenii na prostranstvakh s kvaz-svobodnym sobstvennym deistviem diskretnoi gruppy $G$”, Trudy seminara po vektornomu i tenzornomu analizu, 27, MGU, M., 2011, 150–172

   2009
18. A. S. Mishchenko, M. Q. Morales, Description of the vector $G$-bundles over $G$-spaces with quasi-free proper action of discrete group $G$, 2009 , 15 pp., arXiv: 0901.3308  adsnasa
19. A. T. Fomenko, A. S. Mishchenko, A short course in differential geometry and topology, Cambridge Scientific Pub., Cambridge, 2009 , xii+273 pp.  mathscinet  zmath
20. A. S. Mishchenko, “Bordisms of manifolds with proper action of discrete group”, International Conference on $C^*$-algebras and elliptic theory. III, Abstracts (Bedlewo, Poland), 2009
21. A. S. Mischenko, “Bordizmy mnogoobrazii s sobstvennym deistviem diskretnykh grupp”, Trudy konferentsii “Geometriya v tselom, topologiya i ikh prilozheniya”, Kharkov, 2009  zmath
22. A. S. Mishchenko, N. Teleman, “Construction of Fredholm representations and a modification of the Higson-Roe corona”, Russ. J. Math. Phys., 16:3 (2009), 446–449  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
23. J. Kubarski, A. S. Mishchenko, “Algebraic aspects of the Hirzebruch signature operator and applications to transitive Lie algebroids”, Russ. J. Math. Phys., 16:3 (2009), 413–428  crossref  mathscinet  zmath  isi  elib  scopus
24. V. K. Bozhenko, A. O. Ivanov, A. S. Mischenko, A. A. Tuzhilin, A. M. Shishkin, “Geometricheskoe modelirovanie v biologii: poisk vozmozhnykh podkhodov”, Sovremennye problemy matematiki i mekhaniki. Tom III. Matematika. Vypusk 2. Geometriya i topologiya, eds. A. T. Fomenko, Izd-vo Mosk. un-ta, M., 2009, 115–126
25. V. M. Manuilov, A. S. Mischenko, E. V. Troitskii, “Sovremennye problemy nekommutativnoi geometrii i topogii”, Sovremennye problemy matematiki i mekhaniki. Tom III. Matematika. Vypusk 2. Geometriya i topologiya, eds. A. T. Fomenko, Izd-vo Mosk. un-ta, M., 2009, 127–138
26. V. K. Bozhenko, A. O. Ivanov, A. S. Mischenko, A. A. Tuzhilin, A. M. Shishkin, “Geometricheskie modeli v biologii: kak i chto mozhno modelirovat”, Nauchnaya vizualizatsiya, 1:1 (2009), 66–99  elib (cited: 1)

   2008
27. A. S. Mishchenko, P. S. Popov, “Poincaré duality and signature for topological manifolds”, Topology Appl., 155:17-18 (2008), 2041–2047  crossref  mathscinet  zmath  isi  elib  scopus
28. A. A. Irmatov, A. S. Mishchenko, “On compact and Fredholm operators over $C^*$-algebras and a new topology in the space of compact operators”, J. K-Theory, 2:2, Special issue in memory of Yurii Petrovich Solovyev (2008), 329–351  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)

   2007
29. A. S. Mishchenko, “$K$-theory over $C^*$-algebras”, Geometry and topology of manifolds, Banach Center Publ., 76, Polish Acad. Sci., Warsaw, 2007, 245–266  crossref  mathscinet  zmath

   2005
30. A. S. Mishchenko, N. Teleman, “Almost flat bundles and almost flat structures”, Topol. Methods Nonlinear Anal., 26:1 (2005), 75–87  crossref  mathscinet  zmath  isi (cited: 5)
31. A. S. Mishchenko, “$K$-theory from the point of view of $C^*$-algebras and Fredholm representations”, Cent. Eur. J. Math., 3:4 (2005), 766–793  crossref  mathscinet  zmath

   2004
32. J. Kubarski, A. Mishchenko, “Nondegenerate cohomology pairing for transitive Lie algebroids, characterization”, Cent. Eur. J. Math., 2:5 (2004), 663–707  crossref  mathscinet  zmath

   2003
33. J. Kubarski, A. S. Mishchenko, “Lie algebroids: spectral sequences and signature”, Dokl. Math., 68:2 (2003), 188–190  mathnet  mathscinet  zmath  isi (cited: 1)  scopus
34. V. P. Maslov, A. S. Mishchenko, “Geometry of a Lagrangian manifold in thermodynamics (Principle of minimizing the thermodynamical potential and thermodynamical inequalities. Analysis of the Gibbs method of geometric picture of thermodynamics)”, Russ. J. Math. Phys., 10:2 (2003), 161–172  mathscinet  zmath  isi (cited: 8)  scopus (cited: 7)
35. A. S. Mishchenko, “The development of noncommutative geometry at Moscow University”, Moscow Univ. Math. Bull., 58:3 (2003), 29–36 (2004)  mathnet  mathscinet  zmath
36. J. Kubarski, A. S. Mishchenko, “Lie algebroids: spectral sequences and signature”, Sb. Math., 194:7 (2003), 1079–1103  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus  scopus

   2002
37. Mishchenko A. S., Popov P. S., “On construction of signature of quadratic forms on infinite-dimensional abstract spaces”, Dedicated to Professor Hvedri Inassaridze on the occasion of his 70th birthday, Georgian Math. J., 9:4 (2002), 775–785  mathscinet  zmath

   2001
38. V. M. Manuilov, A. S. Mishchenko, “Almost, asymptotic and Fredholm representations of discrete groups”, Noncommutative geometry and operator $K$-theory, Acta Appl. Math., 68, no. 1-3, 2001, 159–210  crossref  mathscinet  zmath  isi (cited: 13)  scopus (cited: 14)
39. A. S. Mishchenko, “Theory of almost algebraic Poincaré complexes and local combinatorial Hirzebruch formula”, Noncommutative geometry and operator $K$-theory, Acta Appl. Math., 68, no. 1-3, 2001, 5–37  crossref  mathscinet  zmath  isi  scopus
40. A. S. Mishchenko, “The Hirzebruch formula: 45 years of history and the current state”, St. Petersburg Math. J., 12:4 (2001), 519–533  mathnet  mathscinet  zmath

   2000
41. A. S. Mishchenko, “A Theory of Almost Algebraic Poincaré Complexes”, Proc. Steklov Inst. Math., 231 (2000), 281–307  mathnet  mathscinet  zmath

   1999
42. A. L. Carey, V. Mathai, A. S. Mishchenko, “On analytic torsion over $C\sp *$-algebras”, Nielsen theory and Reidemeister torsion (Warsaw, 1996), Banach Center Publ., 49, Polish Acad. Sci., Warsaw, 1999, 43–67  crossref  mathscinet  zmath
43. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The two-dimensional Ising model and the Kac–Ward determinant”, Izv. Math., 63:4 (1999), 707–727  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 2)  scopus (cited: 2)
44. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward Determinant”, Proc. Steklov Inst. Math., 225 (1999), 165–182  mathnet  mathscinet  zmath
45. A. S. Mishchenko, “Local Combinatorial Hirzebruch Formula”, Proc. Steklov Inst. Math., 224 (1999), 226–239  mathnet  mathscinet  zmath

   1998
46. G. Luke Glenys, A. S. Mishchenko, Vector bundles and their applications, Mathematics and its Applications, 447, Kluwer Academic Publishers, Dordrecht, 1998 , viii+254 pp.  mathscinet  zmath
47. A. S. Mishchenko, N. Mohammad, “Asymptotic representation of discrete groups”, Lie groups and Lie algebras, Math. Appl., 433, Kluwer Acad. Publ., Dordrecht, 1998, 299–312  mathscinet  zmath  isi (cited: 24)
48. V. M. Manuilov, A. S. Mishchenko, “Asymptotic and Fredholm representations of discrete groups”, Sb. Math., 189:10 (1998), 1485–1504  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 6)  scopus (cited: 6)
49. V. P. Maslov, A. S. Mishchenko, “Quasi-classical asymptotics of quasi-particles”, Sb. Math., 189:6 (1998), 901–930  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 2)  scopus (cited: 2)

   1996
50. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “Homological Properties of Dimer Configurations for Lattices on Surfaces”, Funct. Anal. Appl., 30:3 (1996), 163–173  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 12)  scopus (cited: 14)

   1995
51. Mishchenko Alexander S., “Controlled Fredholm representations”, Novikov conjectures, index theorems and rigidity (Oberwolfach, 1993), v. 1, London Math. Soc. Lecture Note Ser., 226, Cambridge Univ. Press, Cambridge, 1995, 174–200  mathscinet  zmath  isi (cited: 10)

   1992
52. A. A. Irmatov, A. S. Mishchenko, “Infinitesimal Fredholm structures on infinite-dimensional manifolds”, Operator algebras and topology (Craiova, 1989), Pitman Res. Notes Math. Ser., 270, Longman Sci. Tech., Harlow, 1992, 45–81  mathscinet  zmath
53. A. S. Mishchenko, “Stationary solutions of nonlinear stochastic equations”, Global analysis—studies and applications, V, Lecture Notes in Math., 1520, Springer, Berlin, 1992, 217–236  crossref  mathscinet  isi

   1993
54. A. S. Mishchenko, V. Ya. Pidstrigach, “The cohomological trace of differential operators with parameters”, Proc. Steklov Inst. Math., 193 (1993), 155–159  mathnet  mathscinet  zmath

   1991
55. A. S. Mishchenko, “Stationary solutions of nonlinear stochastic equations”, Nonlinear operators in global analysis, Novoe Global. Anal., Voronezh. Gos. Univ., Voronezh, 1991, 87–98 (Russian)  mathscinet

   1990
56. A. S. Mishchenko, V. E. Shatalov, B. Yu. Sternin, Lagrangian manifolds and the Maslov operator, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1990 , x+395 pp.  crossref  mathscinet  zmath

   1989
57. A. S. Mishchenko, O. G. Filippov, “Reducing elliptic operators with almost periodic coefficients to operators on compact manifolds”, Moscow Univ. Math. Bull., 44:5 (1989), 73–76  mathnet  mathscinet  zmath  isi

   1988
58. A. Mishchenko, A. Fomenko, A course of differential geometry and topology, “Mir”, Moscow, 1988 , 455 pp.  mathscinet

   1990
59. L. S. Pontryagin, A. S. Mishchenko, “Linear differential games (an analytic theory based on alternating integration)”, Proc. Steklov Inst. Math., 185 (1990), 233–240  mathnet  mathscinet  zmath

   1986
60. Yu. I. Zhuraev, A. S. Mishchenko, Yu. P. Solov'ev, “Characteristic classes in algebraic $K$-theory”, Moscow Univ. Math. Bull., 41:1 (1986), 80–82  mathnet  mathscinet  mathscinet  zmath  isi
61. A. S. Mishchenko, Z. Switalski, “On a geometric interpretation of differential operators with periodic coefficients”, Russian Math. Surveys, 41:2 (1986), 211–212  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1988
62. L. S. Pontryagin, A. S. Mishchenko, “The linear differential game of pursuit (analytic theory)”, Math. USSR-Sb., 59:1 (1988), 129–154  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

   1985
63. A. S. Mishchenko, Yu. P. Solovyev, A. T. Fomenko, Problems in differential geometry and topology, “Mir”, Moscow, 1985 , iv+208 pp.  mathscinet

   1984
64. L. S. Pontryagin, A. S. Mishchenko, “Solution of a linear differential game of pursuit on the basis of alternating integration without discrimination against the evasion control”, Soviet Math. Dokl., 30 (1984), 290–293  mathnet  mathscinet  zmath  isi
65. L. S. Pontryagin, A. S. Mishchenko, “Solution of a linear differential game of pursuit without discrimination of the evading object”, Soviet Math. Dokl., 30 (1984), 216–218  mathnet  mathscinet  zmath  isi
66. A. S. Mishchenko, Vector bundles and their applications, “Nauka”, Moscow, 1984 , 208 pp. (Russian)  mathscinet
67. A. S. Miscenko, “On some homotopy invariants of pseudo-Riemannian metrics”, Topology (Leningrad, 1982), Lecture Notes in Math., 1060, Springer, Berlin, 1984, 341–347  crossref  mathscinet  isi

   1986
68. A. S. Mishchenko, “Representations of compact groups in Hilbert modules over $C^\ast$-algebras”, Proc. Steklov Inst. Math., 166 (1986), 179–195  mathnet  mathscinet  zmath

   1983
69. A. S. Mishchenko, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 203–216 (Russian)  mathscinet
70. A. S. Mishchenko, “Topological problems in analysis”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 213–215 (Russian)  mathscinet
71. A. S. Mishchenko, “Functional methods in topology”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 212–213 (Russian)  mathscinet
72. A. S. Mischenko, “Methods of a stable algebra in problems of differential topology”, Ocherki razvitiya matematiki v SSSR, Naukova dumka, Kiev, 1983, 209–212  mathscinet
73. A. S. Mishchenko, “Methods of generalized homology theories”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 206–209 (Russian)  mathscinet
74. A. S. Mishchenko, “New methods in algebraic and differential topology”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 203–206 (Russian)  mathscinet
75. A. S Mishchenko., F. Sharipov, “Independence of the spectrum of an elliptic operator with random coefficients”, Moscow Univ. Math. Bull., 38:6 (1983), 59–64  mathnet  mathscinet  mathscinet  zmath  isi  scopus
76. A. S. Mishchenko, “Integration of geodesic flows on symmetric spaces”, Trudy Sem. Vektor. Tenzor. Anal., 21, 1983, 13–22 (Russian)  mathscinet  zmath

   1982
77. A. S. Mishchenko, “The structure of orbits of extensions of Lie algebras”, Equations on manifolds, Novoe Global. Anal., Voronezh. Gos. Univ., Voronezh, 1982, 52–59 (Russian)  mathscinet
78. A. S. Mishchenko, “Integration of geodesic flows on symmetric spaces”, Math. Notes, 31:2 (1982), 132–134  mathnet  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 6)

   1981
79. A. S. Mishchenko, Yu. P. Solov'ev, A. T. Fomenko, Collection of problems in differential geometry and topology, Moskov. Gos. Univ., Moscow, 1981 , 184 pp. (Russian)  mathscinet  zmath
80. A. S. Miščenko, A. T. Fomenko, “Integration of Hamiltonian systems with noncommutative symmetries”, Trudy Sem. Vektor. Tenzor. Anal., 20, 1981, 5–54 (Russian)  mathscinet

   1980
81. A. S. Mishchenko, A. T. Fomenko, A course in differential geometry and topology, Moskov. Gos. Univ., Moscow, 1980 , 440 pp. (Russian)  mathscinet
82. R. A. Biktašev, A. S. Miščenko, “Spectra of elliptic unbounded pseudodifferential operators over $C^*$-algebras”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1980, no. 3, 56–58  mathscinet  zmath  isi

   1981
83. A. S. Mishchenko, Yu. P. Solov'ev, “Representations of Banach algebras and formulas of Hirzebruch type”, Math. USSR-Sb., 39:2 (1981), 189–205  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 1)

   1979
84. A. S. Miščenko, A. T. Fomenko, “Integrability of Euler's equations on semisimple Lie algebras”, Trudy Sem. Vektor. Tenzor. Anal., 19, 1979, 3–94  mathscinet  zmath
85. A. S. Mishchenko, A. T. Fomenko, “Symplectic Lie group actions”, Algebraic topology, Proc. Sympos. (Univ. Aarhus, Aarhus, 1978), Lecture Notes in Math., 763, Springer, Berlin, 1979, 504–538  crossref  mathscinet
86. A. S. Mishchenko, “$C^*$-algebras and $K$-theory”, Algebraic topology, Proc. Sympos. (Univ. Aarhus, Aarhus, 1978), Lecture Notes in Math., 763, Springer, Berlin, 1979, 262–274  crossref  mathscinet
87. A. S. Miščenko, “The problem of invariance for characteristic classes of smooth manifolds”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1979, no. 6, 18–23 (Russian)  mathscinet

   1980
88. A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$-algebras”, Math. USSR-Izv., 15:1 (1980), 87–112  mathnet  crossref  mathscinet  zmath  isi (cited: 49)  scopus (cited: 55)

   1979
89. A. S. Mishchenko, “Banach algebras, pseudodifferential operators, and their application to $K$-theory”, Russian Math. Surveys, 34:6 (1979), 77–91  mathnet  crossref  mathscinet  zmath  adsnasa  scopus (cited: 5)

   1978
90. A. S. Mishchenko, B. Yu. Sternin, V. E. Shatalov, Lagrangian manifolds and the method of the canonical operator, “Nauka”, Moscow, 1978 , 352 pp. (Russian)  mathscinet
91. A. S. Miščenko, Ju. P. Solovʹev, “A classifying space for Hermitian $K$-theory”, Trudy Sem. Vektor. Tenzor. Anal., 18, 1978, 140–168 (Russian)  mathscinet  zmath
92. A. S. Mishchenko, “The theory of elliptic operators over $C^*$-algebras”, Soviet Math. Dokl., 19 (1978), 512–515  mathnet  mathscinet  mathscinet  zmath
93. A. S. Mishchenko, A. T. Fomenko, “Generalized Liouville method of integration of Hamiltonian systems”, Funct. Anal. Appl., 12:2 (1978), 113–121  mathnet  crossref  mathscinet  zmath  scopus (cited: 127)
94. A. S. Mishchenko, A. T. Fomenko, “Euler equations on finite-dimensional Lie groups”, Math. USSR-Izv., 12:2 (1978), 371–389  mathnet  crossref  mathscinet  zmath  scopus (cited: 89)
95. A. S. Mischenko, A. T. Fomenko, “Nekommutativnoe integrirovanie gamiltonovykh sistem i ego prilozheniya”, Izv. AN SSSR. Mekhanika tverdogo tela, 1978, no. 4, 187–188

   1977
96. A. S. Mishchenko, Yu. P. Solov'ev, “On infinite-dimensional representations of fundamental groups and formulas of Hirzebruch type”, Soviet Math. Dokl., 18 (1977), 767–771  mathnet  mathscinet  mathscinet  zmath

   1980
97. A. S. Mishchenko, B. Yu. Sternin, V. E. Shatalov, “Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space”, J. Soviet Math., 13:1 (1980), 1–23  mathnet  crossref  zmath  scopus

   1976
98. A. S. Mishchenko, A. T. Fomenko, “On the integration of the Euler equations on semisimple Lie algebras”, Soviet Math. Dokl., 17 (1976), 1591–1593 (1977)  mathnet  mathscinet  mathscinet  zmath
99. A. S. Mishchenko, “Hermitian $K$-theory. The theory of characteristic classes and methods of functional analysis”, Russian Math. Surveys, 31:2 (1976), 71–138  mathnet  crossref  mathscinet  zmath  adsnasa  scopus (cited: 12)

   1975
100. A. S. Mishchenko, “On Fredholm representations of discrete groups”, Funct. Anal. Appl., 9:2 (1975), 121–125  mathnet  crossref  mathscinet  zmath  scopus (cited: 8)

   1974
101. V. M. Buhštaber, A. S. Miščenko, “Lectures on intrinsic homology and formal groups”, Tenth Mathematical Summer School (Kaciveli/Nalchik, 1972), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1974, 190–259  mathscinet
102. A. S. Mishchenko, “Infinite-dimensional representations of discrete groups, and higher signatures”, Math. USSR-Izv., 8:1 (1974), 85–111  mathnet  crossref  mathscinet  zmath  scopus (cited: 14)

   1973
103. A. S. Mishchenko, “Infinite-dimensional representations of discrete groups and homotopy invariants of non-simply connected manifolds”, Uspekhi Mat. Nauk, 28:2(170) (1973), 239–240  mathnet  mathscinet  zmath

   1972
104. A. S. Mishchenko, “Remark on my paper “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures””, Math. USSR-Izv., 6:4 (1972), 904  mathnet  crossref  mathscinet  zmath  scopus

   1971
105. A. S. Mishchenko, “Extraordinary homology theories: bordism and $K$-theory”, Actes du Congrès International des Mathématiciens (1970, Nice), Gauthier-Villars, Paris, 1971, 113–119  mathscinet
106. A. S. Mischenko, “Classification of smooth structures on a manifold”, Trudy Vosmoi matematicheskoi letnei shkoly (Katsiveli, 1970), Izdanie Instituta matematiki AN USSR, Kiev, 1971, 5–77 (Russian)  mathscinet
107. A. S. Mishchenko, “Involution of manifolds with a set of fixed points diffeomorphic to real projective space”, Math. Notes, 9:3 (1971), 148–149  mathnet  crossref  mathscinet  zmath  zmath  zmath  scopus (cited: 1)
108. A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures”, Math. USSR-Izv., 5:6 (1971), 1325–1364  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)
109. A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. II: Simple homotopy type”, Math. USSR-Izv., 5:3 (1971), 668–679  mathnet  crossref  mathscinet  zmath  scopus
110. A. S. Mishchenko, “Homotopy invariance of higher signatures of non-simply connected manifolds”, Uspekhi Mat. Nauk, 26:4(160) (1971), 239–240  mathnet  mathscinet  zmath
111. 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 (cited: 11)
112. A. S. Mishchenko, “Surgery of Poincaré complexes”, Math. USSR-Sb., 14:3 (1971), 359–366  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   1970
113. A. S. Mishchenko, “Integral geodesics of a flow on Lie groups”, Funct. Anal. Appl., 4:3 (1970), 232–235  mathnet  crossref  mathscinet  zmath  scopus (cited: 29)
114. A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. I. Rational invariants”, Math. USSR-Izv., 4:3 (1970), 506–519  mathnet  crossref  mathscinet  zmath  scopus (cited: 8)

   1969
115. I. M. Gel'fand, A. S. Mishchenko, “Quadratic forms over commutative group rings and the $K$-theory”, Funct. Anal. Appl., 3:4 (1969), 277–281  mathnet  crossref  mathscinet  zmath  scopus (cited: 11)
116. A. S. Mishchenko, “Bordisms with the action of the group $Z_p$ and fixed points”, Math. USSR-Sb., 9:3 (1969), 291–296  mathnet  crossref  mathscinet  zmath
117. V. M. Buchstaber, A. S. Mishchenko, “Remark on the paper, “$K$-theory on the category of infinite cell complexes””, Math. USSR-Izv., 3:1 (1969), 227–228  mathnet  crossref  mathscinet  zmath

   1968
118. A. S. Mishchenko, “Manifolds with the action of the group $Z_p$ and fixed points”, Math. Notes, 4:4 (1968), 721–724 (1969)  mathnet  crossref  mathscinet  zmath  zmath  scopus (cited: 3)
119. V. M. Bukhshtaber, A. S. Mishchenko, “Elements of infinite filtration in $K$-theory”, Soviet Math. Dokl., 9 (1968), 256–259  mathnet  mathscinet  mathscinet  mathscinet  zmath
120. V. M. Buchstaber, A. S. Mishchenko, “$K$-theory on the category of infinite cell complexes”, Math. USSR-Izv., 2:3 (1968), 515–556  mathnet  crossref  mathscinet  zmath

   1967
121. A. S. Mishchenko, “Spectral sequences of Adams type”, Math. Notes, 1:3 (1967), 226–230 (1968)  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

   1966
122. A. S. Mischenko, “O ravnomerno zamknutykh otobrazheniyakh”, Fund. Math., 58 (1966), 285–308 (Russian)  crossref  mathscinet
123. A. S. Mischenko, “Neskolko teorem o proizvedeniyakh topologicheskikh prostranstv”, Fund. Math., 58 (1966), 259–284 (Russian)  mathscinet  zmath

   1965
124. V. Golshtynskii, A. S. Mischenko, “O stroenii prostranstv, podmnozhestva kotorykh deskriptivno regulyarny”, Byulleten Polskoi Akademii nauk, 13:8 (1965), 553–559 (Russian)  mathscinet  zmath
125. A. Mishchenko, “Dimension of groups with a left-invariant topology”, Soviet Math. Dokl., 5 (1965), 1603–1605  mathnet  mathscinet  mathscinet  zmath

   1963
126. A. S. Mishchenko, “An example of an irreducible perfect mapping of a non-normal space onto a normal space”, Uspekhi Mat. Nauk, 18:5(113) (1963), 181–182  mathnet  mathscinet  zmath

   1962
127. A. S. Mishchenko, “Spaces with point-countable base”, Soviet Math. Dokl., 3 (1962), 855–858  mathnet  mathscinet  mathscinet  zmath
128. A. Mishchenko, “Finally compact spaces”, Soviet Math. Dokl., 3 (1962), 1199–1202  mathnet  mathscinet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Geometric description of the Hochschild cohomology of Group Algebras
A. S. Mishchenko
Beijing–Moscow Mathematics Colloquium
September 25, 2020 11:00
2. Geometric description for Hochschild homology and cohomology of group algebras
A. S. Mishchenko
Algebraic topology and its applications. Postnikov memorial seminar
October 8, 2019 16:45
3. Описания дериваций и когомологий Хохшильда групповой алгебры C[G] при помощи когомологий классифицирующего пространства группоида присоединенного действия группы G
A. S. Mishchenko
Seminar on analytic theory of differential equations
December 5, 2018 14:30
4. Описание гомологий и когомологий Хохшильда групповой алгебры $C[G]$ при помощи группоида присоединенного действия группы $G$
A. S. Mishchenko
Differential geometry and applications
December 3, 2018 16:45
5. Гладкая версия проблемы Джонсона о деривациях групповых алгебр
A. S. Mishchenko
Differential geometry and applications
February 26, 2018 16:45
6. Деривации групповых алгебр
A. S. Mishchenko, A. I. Shtern, A. A. Arutyunov
Noncommutative geometry and topology
April 20, 2017 17:00
7. Homotopic classification of transitive Lie algebroids
A. S. Mishchenko
Modern geometry methods
February 26, 2014 18:30
8. Транзитивные алгеброиды Ли с категорной точки зрения
A. S. Mishchenko
Seminar by Department of Differential Equation, Steklov Mathematical Institute of RAS
April 10, 2013 12:00
9. Transitive Lie algebroids. Cohomology and characteristic classes
A. S. Mishchenko
Algebraic topology and its applications. Postnikov memorial seminar
March 5, 2013 16:45
10. Elliptic operators and index formula over C*-algebras
A. S. Mishchenko
P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics
February 18, 2013 18:35

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