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Mishchenko, Alexandr Sergeevich

Total publications: 135 (126)
in MathSciNet: 122 (115)
in zbMATH: 91 (86)
in Web of Science: 37 (32)
in Scopus: 26 (26)
Cited articles: 83
Citations in Math-Net.Ru: 505
Citations in Web of Science: 171
Citations in Scopus: 228
Presentations: 9

Number of views:
This page:8704
Abstract pages:19330
Full texts:6558
References:1211
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:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |



   2019
1. 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  adsnasa  isi  elib  scopus

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

   2017
3. A. S. Mishchenko, Xiaoyu Li, “Transitive Lie algebroids. Categorical point of view”, J. Math. Sci., 223:6 (2017), 739–755  mathnet  crossref  mathscinet  elib
4. 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

   2015
5. M. I. Zelikin, A. O. Ivanov, B. S. Kashin, A. S. Mishchenko, Yu. V. Nesterenko, A. A. Oshemkov, F. Yu. Popelenskii, V. A. Sadovnichii, A. A. Tuzhilin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, “Academician Anatolii Timofeevich Fomenko”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 66–68  mathnet

   2013
6. 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  scopus
7. Xiaoyu Li, A. S. Mishchenko, Description of coupling in the category of transitive Lie algebroids, 2013 , 13 pp., arXiv: 1310.5824  adsnasa
8. Xiaoyu Li, A. S. Mishchenko, The existence of coupling in the category of transitive Lie algebroid, 2013 , 8 pp., arXiv: 1306.5449  adsnasa
9. 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  zmath  isi (cited: 3)  elib  elib  scopus
10. V. N. Chubarikov, A. T. Fomenko, A. S. Mishchenko, E. V. Shchepin, B. A. Pasynkov, V. I. Ponomarev, S. D. Iliadis, Yu. V. Sadovnichii, K. L. Kozlov, “Vitalii Vital'evich Fedorchuk (01.11.1942 – 09.12.2012)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 4, 70–71  mathnet

   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: 8)  elib (cited: 5)  scopus (cited: 9)
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
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)
27. J.-P. Brasselet, A. Legrand, R. Longo, A. Mishchenko, “Collection of materials presented at the Conference “Geometry and Operator Theory” dedicated to N. Teleman's 65th birthday celebration, Ancona, 20–22 September 2007”, Russ. J. Math. Phys., 16:3 (2009), 345–349  crossref  mathscinet  zmath  isi

   2008
28. 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
29. 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
30. A. S. Mishchenko, Th. Yu. Popelensky, E. V. Troitsky, “In memory of Yurii Petrovich Solovyev”, J. K-Theory, 2:2, Special issue in memory of Yurii Petrovich Solovyev (2008), 209–218  crossref  mathscinet  zmath  isi
31. N. M. Bliznyakov, V. M. Buchstaber, Yu. E. Gliklikh, V. G. Zvyagin, A. S. Mishchenko, V. V. Obukhovskii, Yu. I. Sapronov, A. T. Fomenko, A. V. Chernavskii, “Yurii Grigor'evich Borisovich (obituary)”, Russian Math. Surveys, 63:4 (2008), 767–769  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2007
32. 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
33. A. S. Mishchenko, N. Teleman, “Almost flat bundles and almost flat structures”, Topol. Methods Nonlinear Anal., 26:1 (2005), 75–87  mathscinet  zmath  isi (cited: 5)
34. 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
35. J. Kubarski, A. Mishchenko, “Nondegenerate cohomology pairing for transitive Lie algebroids, characterization”, Cent. Eur. J. Math., 2:5 (2004), 663–707  crossref  mathscinet  zmath
36. V. V. Belokurov, A. A. Egorov, A. S. Mishchenko, F. Yu. Popelenskii, V. A. Sadovnichii, E. V. Troitskii, A. T. Fomenko, E. T. Shavgulidze, “Yurii Petrovich Solov'ev (obituary)”, Russian Math. Surveys, 59:5 (2004), 941–947  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2003
37. 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
38. 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)
39. A. S. Mishchenko, “The development of noncommutative geometry at Moscow University”, Moscow Univ. Math. Bull., 58:3 (2003), 29–36 (2004)  mathnet  mathscinet  zmath
40. 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

   2002
41. 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
42. 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: 12)  scopus (cited: 12)
43. 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
44. 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
45. A. S. Mishchenko, “A Theory of Almost Algebraic Poincaré Complexes”, Proc. Steklov Inst. Math., 231 (2000), 281–307  mathnet  mathscinet  zmath

   1999
46. 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  mathscinet  zmath
47. 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)
48. 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
49. A. S. Mishchenko, “Local Combinatorial Hirzebruch Formula”, Proc. Steklov Inst. Math., 224 (1999), 226–239  mathnet  mathscinet  zmath

   1998
50. 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
51. 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: 23)
52. 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)
53. 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)

   1996
54. 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: 13)

   1995
55. 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: 8)

   1992
56. 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
57. 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
58. 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
59. 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
60. 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
61. V. G. Zvyagin, M. A. Krasnosel'skii, A. S. Mishchenko, Yu. I. Sapronov, V. I. Sobolev, “Yurii Grigor'evich Borisovich (on his sixtieth birthday)”, Russian Math. Surveys, 45:4 (1990), 243–245  mathnet  crossref  mathscinet  adsnasa  isi

   1989
62. 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
63. A. Mishchenko, A. Fomenko, A course of differential geometry and topology, “Mir”, Moscow, 1988 , 455 pp.  mathscinet

   1990
64. 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
65. 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  mathscinet  zmath  isi
66. 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

   1988
67. 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

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

   1984
69. 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
70. 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
71. A. S. Mishchenko, Vector bundles and their applications, “Nauka”, Moscow, 1984 , 208 pp. (Russian)  mathscinet
72. 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
73. 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
74. A. S. Mishchenko, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 203–216 (Russian)  mathscinet
75. A. S. Mishchenko, “Topological problems in analysis”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 213–215 (Russian)  mathscinet
76. A. S. Mishchenko, “Functional methods in topology”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 212–213 (Russian)  mathscinet
77. 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
78. 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
79. 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
80. 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  mathscinet  zmath  isi  scopus
81. A. S. Mishchenko, “Integration of geodesic flows on symmetric spaces”, Trudy Sem. Vektor. Tenzor. Anal., 21, 1983, 13–22 (Russian)  mathscinet  zmath
82. A. S. Mishchenko, “An outstanding mathematician of modern times (on the occasion of the 75th birthday of L. S. Pontryagin)”, Mat. v Shkole, 1983, no. 4, 52–54 (Russian)  mathscinet

   1982
83. 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
84. 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
85. 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
86. 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
87. A. S. Mishchenko, A. T. Fomenko, A course in differential geometry and topology, Moskov. Gos. Univ., Moscow, 1980 , 440 pp. (Russian)  mathscinet
88. 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
89. 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

   1979
90. 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
91. 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
92. 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
93. 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
94. 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: 48)

   1979
95. 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

   1978
96. 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
97. 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
98. A. S. Mishchenko, “The theory of elliptic operators over $C^*$-algebras”, Soviet Math. Dokl., 19 (1978), 512–515  mathnet  mathscinet  mathscinet  zmath
99. 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: 119)
100. 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
101. 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
102. 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
103. 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
104. 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
105. 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

   1975
106. A. S. Mishchenko, “On Fredholm representations of discrete groups”, Funct. Anal. Appl., 9:2 (1975), 121–125  mathnet  crossref  mathscinet  zmath  scopus (cited: 7)

   1974
107. 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
108. A. S. Mishchenko, “Infinite-dimensional representations of discrete groups, and higher signatures”, Math. USSR-Izv., 8:1 (1974), 85–111  mathnet  crossref  mathscinet  zmath

   1973
109. 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
110. 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

   1971
111. 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
112. 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
113. 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)
114. A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures”, Math. USSR-Izv., 5:6 (1971), 1325–1364  mathnet  crossref  mathscinet  zmath
115. 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
116. 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
117. 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
118. A. S. Mishchenko, “Surgery of Poincaré complexes”, Math. USSR-Sb., 14:3 (1971), 359–366  mathnet  crossref  mathscinet  zmath

   1970
119. 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: 27)
120. A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. I. Rational invariants”, Math. USSR-Izv., 4:3 (1970), 506–519  mathnet  crossref  mathscinet  zmath

   1969
121. 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)
122. 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
123. 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
124. A. S. Mishchenko, “Andrew Wallace, Differential topology: First steps (review)”, Uspekhi Mat. Nauk, 24:5(149) (1969), 255  mathnet  mathscinet  zmath

   1968
125. 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)
126. 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
127. 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
128. A. S. Mishchenko, “Spectral sequences of Adams type”, Math. Notes, 1:3 (1967), 226–230 (1968)  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

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

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

   1963
133. 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
134. A. S. Mishchenko, “Spaces with point-countable base”, Soviet Math. Dokl., 3 (1962), 855–858  mathnet  mathscinet  mathscinet  zmath
135. A. Mishchenko, “Finally compact spaces”, Soviet Math. Dokl., 3 (1962), 1199–1202  mathnet  mathscinet  mathscinet  zmath

Presentations in Math-Net.Ru
1. 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
2. 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
3. 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
4. Гладкая версия проблемы Джонсона о деривациях групповых алгебр
A. S. Mishchenko
Differential geometry and applications
February 26, 2018 16:45
5. Деривации групповых алгебр
A. S. Mishchenko, A. I. Shtern, A. A. Arutyunov
Noncommutative geometry and topology
April 20, 2017 17:00
6. Homotopic classification of transitive Lie algebroids
A. S. Mishchenko
Modern geometry methods
February 26, 2014 18:30
7. Транзитивные алгеброиды Ли с категорной точки зрения
A. S. Mishchenko
Seminar of the Department of Differential Equations, Steklov Mathematical Institute of RAS
April 10, 2013 12:00
8. Transitive Lie algebroids. Cohomology and characteristic classes
A. S. Mishchenko
Algebraic topology and its applications. Postnikov memorial seminar
March 5, 2013 16:45
9. 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

Organisations
 
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