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:
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
A. S. Mischenko, “Gomotopicheskie invarianity neodnosvyaznykh mnogoobrazii. 1. Ratsionalnye invarianty”, Izvestiya AN SSSR. Ser. matem., 34:3 (1970), 501–514
A. S. Mischenko, “Beskonechnomernye predstavleniya diskretnykh grupp i vysshie signatury”, Izvestiya AN SSSR. Ser. matem., 38:1 (1974), 81–106
A. S. Mischenko, A. T. Fomenko, “Obobschennyi metod Liuvillya integrirovaniya gamiltonovykh sistem”, Funkts. analiz i ego prilozheniya, 12:2 (1978), 46–56
A. S. Mischenko, “Lokalnaya kombinatornaya formula Khirtsebrukha”, Trudy MIAN, 224, 1999, 249–263
V. V. Belokurov, A. V. Bolsinov, A. O. Ivanov, V. V. Kozlov, S. V. Matveev, A. S. Mishchenko, D. O. Orlov, F. Yu. Popelenskii, V. A. Sadovnichy, I. A. Taimanov, D. V. Treschev, A. I. Shafarevich, A. N. Shiryaev, “Anatolii Timofeevich Fomenko (on his 80th birthday)”, Uspekhi Mat. Nauk, 81:1(487) (2026), 211–222
2025
2.
V. M. Manuilov, A. S. Mishchenko, “Scientific results of the Chair of Higher Geometry and Topology MSU”, Moscow University Mathematics Bulletin, 80:1 (2025), 72–80
2024
3.
A. S. Mishchenko, “Maslov index on symplectic manifolds infinitesimal Lagrangian manifolds”, Journal of Mathematical Sciences, 287:4 (2024), 601–608
4.
A. A. Arutyunov, A. A. Irmatov, V. M. Manuilov, A. S. Mishchenko, F. Yu. Popelenskii, A. Yu. Savin, “Noncommutative geometry and topology at the Lomonosov Moscow State University”, Moscow University Mathematics Bulletin, 79:6 (2024), 265–272
2023
5.
A. S. Mishchenko, “Notes on a Category-Theoretic Definition of Maslov Classes of a Lagrangian Manifold”, Math. Notes, 114:3 (2023), 412–414
2022
6.
A. S. Mishchenko, “Maslov Index on Symplectic Manifolds. With Supplement by A. T. Fomenko "Constructing the Generalized Maslov Class for the Total Space $W=\mathbb{T}^*(M)$ of the Cotangent Bundle"”, Math. Notes, 112:5 (2022), 697–708
7.
V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 3–5
2021
8.
V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 69–71
2020
9.
E. F. Mishchenko, A. S. Mishchenko, M. I. Zelikin, “On the Adequacy of Mathematical Models in Control Theory, Physics and Ecology, Finished”, Math. Ed., 2020, no. 1(93), 2–14
10.
A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Russian Math. Surveys, 75:2 (2020), 369–375
2019
11.
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
12.
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
2020
13.
A. A. Arutyunov, A. S. Mishchenko, A. I. Shtern, “Derivations of group algebras”, J. Math. Sci., 248:6 (2020), 709–718
2017
14.
A. S. Mishchenko, Xiaoyu Li, “Transitive Lie algebroids. Categorical point of view”, J. Math. Sci., 223:6 (2017), 739–755
15.
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
2015
16.
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
2013
17.
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
18.
Xiaoyu Li, A. S. Mishchenko, Description of coupling in the category of transitive Lie algebroids, 2013, 13 pp., arXiv: 1310.5824
19.
Xiaoyu Li, A. S. Mishchenko, The existence of coupling in the category of transitive Lie algebroid, 2013, 8 pp., arXiv: 1306.5449
20.
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
21.
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
2012
22.
A. S. Mishchenko, XiaoYu Li, Comparison of categorical characteristic classes of transitive Lie algebroid with Chern-Weil homomorphism, 2012, 13 pp., arXiv: 1208.6564
2011
23.
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
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
25.
A. S. Mishchenko, J. Ribeiro, Generalization of the Sullivan construction for transitive Lie algebroids, 2011, arXiv: 1102.5698
26.
A. S. Mishchenko, Characteristic classes of transitive Lie algebroids. Categorical point of view, 2011, 52 pp., arXiv: 1111.6823
27.
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
28.
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
29.
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
30.
A. T. Fomenko, A. S. Mishchenko, A short course in differential geometry and topology, Cambridge Scientific Pub., Cambridge, 2009, xii+273 pp.
31.
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
32.
A. S. Mischenko, “Bordizmy mnogoobrazii s sobstvennym deistviem diskretnykh grupp”, Trudy konferentsii “Geometriya v tselom, topologiya i ikh prilozheniya”, Kharkov, 2009
33.
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
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
35.
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
36.
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
37.
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
38.
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
2008
39.
A. S. Mishchenko, P. S. Popov, “Poincaré duality and signature for topological manifolds”, Topology Appl., 155:17-18 (2008), 2041–2047
40.
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
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
42.
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
2007
43.
A. S. Mishchenko, “$K$-theory over $C^*$-algebras”, Geometry and topology of manifolds, Banach Center Publ., 76, Polish Acad. Sci., Warsaw, 2007, 245–266
2005
44.
A. S. Mishchenko, N. Teleman, “Almost flat bundles and almost flat structures”, Topol. Methods Nonlinear Anal., 26:1 (2005), 75–87
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
2004
46.
J. Kubarski, A. Mishchenko, “Nondegenerate cohomology pairing for transitive Lie algebroids, characterization”, Cent. Eur. J. Math., 2:5 (2004), 663–707
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
2003
48.
J. Kubarski, A. S. Mishchenko, “Lie algebroids: spectral sequences and signature”, Dokl. Math., 68:2 (2003), 188–190
49.
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
50.
A. S. Mishchenko, “The development of noncommutative geometry at Moscow University”, Moscow Univ. Math. Bull., 58:3 (2003), 29–36 (2004)
51.
J. Kubarski, A. S. Mishchenko, “Lie algebroids: spectral sequences and signature”, Sb. Math., 194:7 (2003), 1079–1103
2002
52.
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
2001
53.
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
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
A. S. Mishchenko, “The Hirzebruch formula: 45 years of history and the current state”, St. Petersburg Math. J., 12:4 (2001), 519–533
2000
56.
A. S. Mishchenko, “A Theory of Almost Algebraic Poincaré Complexes”, Proc. Steklov Inst. Math., 231 (2000), 281–307
1999
57.
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
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
59.
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
60.
A. S. Mishchenko, “Local Combinatorial Hirzebruch Formula”, Proc. Steklov Inst. Math., 224 (1999), 226–239
1998
61.
G. Luke Glenys, A. S. Mishchenko, Vector bundles and their applications, Mathematics and its Applications, 447, Kluwer Academic Publishers, Dordrecht, 1998, viii+254 pp.
62.
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
63.
V. M. Manuilov, A. S. Mishchenko, “Asymptotic and Fredholm representations of discrete groups”, Sb. Math., 189:10 (1998), 1485–1504
64.
V. P. Maslov, A. S. Mishchenko, “Quasi-classical asymptotics of quasi-particles”, Sb. Math., 189:6 (1998), 901–930
1996
65.
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
1995
66.
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
1992
67.
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
68.
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
A. S. Mishchenko, V. Ya. Pidstrigach, “The cohomological trace of differential operators with parameters”, Proc. Steklov Inst. Math., 193 (1993), 155–159
1991
70.
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)
1990
71.
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.
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
1989
73.
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
1988
74.
A. Mishchenko, A. Fomenko, A course of differential geometry and topology, “Mir”, Moscow, 1988, 455 pp.
1990
75.
L. S. Pontryagin, A. S. Mishchenko, “Linear differential games (an analytic theory based on alternating integration)”, Proc. Steklov Inst. Math., 185 (1990), 233–240
1986
76.
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
77.
A. S. Mishchenko, Z. Switalski, “On a geometric interpretation of differential operators with periodic coefficients”, Russian Math. Surveys, 41:2 (1986), 211–212
1988
78.
L. S. Pontryagin, A. S. Mishchenko, “The linear differential game of pursuit (analytic theory)”, Math. USSR-Sb., 59:1 (1988), 129–154
1985
79.
A. S. Mishchenko, Yu. P. Solovyev, A. T. Fomenko, Problems in differential geometry and topology, “Mir”, Moscow, 1985, iv+208 pp.
1984
80.
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
81.
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
82.
A. S. Mishchenko, Vector bundles and their applications, “Nauka”, Moscow, 1984, 208 pp. (Russian)
83.
A. S. Miscenko, “On some homotopy invariants of pseudo-Riemannian metrics”, Topology (Leningrad, 1982), Lecture Notes in Math., 1060, Springer, Berlin, 1984, 341–347
1986
84.
A. S. Mishchenko, “Representations of compact groups in Hilbert modules over $C^\ast$-algebras”, Proc. Steklov Inst. Math., 166 (1986), 179–195
1983
85.
A. S. Mishchenko, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 203–216 (Russian)
86.
A. S. Mishchenko, “Topological problems in analysis”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 213–215 (Russian)
87.
A. S. Mishchenko, “Functional methods in topology”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 212–213 (Russian)
88.
A. S. Mischenko, “Methods of a stable algebra in problems of differential topology”, Ocherki razvitiya matematiki v SSSR, Naukova dumka, Kiev, 1983, 209–212
89.
A. S. Mishchenko, “Methods of generalized homology theories”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 206–209 (Russian)
90.
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)
91.
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
92.
A. S. Mishchenko, “Integration of geodesic flows on symmetric spaces”, Trudy Sem. Vektor. Tenzor. Anal., 21, 1983, 13–22 (Russian)
93.
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)
1982
94.
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)
95.
A. S. Mishchenko, “Integration of geodesic flows on symmetric spaces”, Math. Notes, 31:2 (1982), 132–134
1981
96.
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)
97.
A. S. Miščenko, A. T. Fomenko, “Integration of Hamiltonian systems with noncommutative symmetries”, Trudy Sem. Vektor. Tenzor. Anal., 20, 1981, 5–54 (Russian)
1980
98.
A. S. Mishchenko, A. T. Fomenko, A course in differential geometry and topology, Moskov. Gos. Univ., Moscow, 1980, 440 pp. (Russian)
99.
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
1981
100.
A. S. Mishchenko, Yu. P. Solov'ev, “Representations of Banach algebras and formulas of Hirzebruch type”, Math. USSR-Sb., 39:2 (1981), 189–205
1979
101.
A. S. Miščenko, A. T. Fomenko, “Integrability of Euler's equations on semisimple Lie algebras”, Trudy Sem. Vektor. Tenzor. Anal., 19, 1979, 3–94
102.
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
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
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)
1980
105.
A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$-algebras”, Math. USSR-Izv., 15:1 (1980), 87–112
1979
106.
A. S. Mishchenko, “Banach algebras, pseudodifferential operators, and their application to $K$-theory”, Russian Math. Surveys, 34:6 (1979), 77–91
1978
107.
A. S. Mishchenko, B. Yu. Sternin, V. E. Shatalov, Lagrangian manifolds and the method of the canonical operator, “Nauka”, Moscow, 1978, 352 pp. (Russian)
108.
A. S. Miščenko, Ju. P. Solovʹev, “A classifying space for Hermitian $K$-theory”, Trudy Sem. Vektor. Tenzor. Anal., 18, 1978, 140–168 (Russian)
109.
A. S. Mishchenko, “The theory of elliptic operators over $C^*$-algebras”, Soviet Math. Dokl., 19 (1978), 512–515
110.
A. S. Mishchenko, A. T. Fomenko, “Generalized Liouville method of integration of Hamiltonian systems”, Funct. Anal. Appl., 12:2 (1978), 113–121
111.
A. S. Mishchenko, A. T. Fomenko, “Euler equations on finite-dimensional Lie groups”, Math. USSR-Izv., 12:2 (1978), 371–389
112.
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
113.
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
1980
114.
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
1976
115.
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)
116.
A. S. Mishchenko, “Hermitian $K$-theory. The theory of characteristic classes and methods of functional analysis”, Russian Math. Surveys, 31:2 (1976), 71–138
1975
117.
A. S. Mishchenko, “On Fredholm representations of discrete groups”, Funct. Anal. Appl., 9:2 (1975), 121–125
1974
118.
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
119.
A. S. Mishchenko, “Infinite-dimensional representations of discrete groups, and higher signatures”, Math. USSR-Izv., 8:1 (1974), 85–111
1973
120.
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
1972
121.
A. S. Mishchenko, “Remark on my paper “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures””, Math. USSR-Izv., 6:4 (1972), 904
1971
122.
A. S. Mishchenko, “Extraordinary homology theories: bordism and $K$-theory”, Actes du Congrès International des Mathématiciens (1970, Nice), Gauthier-Villars, Paris, 1971, 113–119
123.
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)
124.
A. S. Mishchenko, “Involution of manifolds with a set of fixed points diffeomorphic to real projective space”, Math. Notes, 9:3 (1971), 148–149
125.
A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures”, Math. USSR-Izv., 5:6 (1971), 1325–1364
126.
A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. II: Simple homotopy type”, Math. USSR-Izv., 5:3 (1971), 668–679
127.
A. S. Mishchenko, “Homotopy invariance of higher signatures of non-simply connected manifolds”, Uspekhi Mat. Nauk, 26:4(160) (1971), 239–240
128.
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
129.
A. S. Mishchenko, “Surgery of Poincaré complexes”, Math. USSR-Sb., 14:3 (1971), 359–366
1970
130.
A. S. Mishchenko, “Integral geodesics of a flow on Lie groups”, Funct. Anal. Appl., 4:3 (1970), 232–235
131.
A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. I. Rational invariants”, Math. USSR-Izv., 4:3 (1970), 506–519
1969
132.
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
133.
A. S. Mishchenko, “Bordisms with the action of the group $Z_p$ and fixed points”, Math. USSR-Sb., 9:3 (1969), 291–296
134.
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
135.
A. S. Mishchenko, “Andrew Wallace, Differential topology: First steps (review)”, Uspekhi Mat. Nauk, 24:5(149) (1969), 255
1968
136.
A. S. Mishchenko, “Manifolds with the action of the group $Z_p$ and fixed points”, Math. Notes, 4:4 (1968), 721–724 (1969)
137.
V. M. Bukhshtaber, A. S. Mishchenko, “Elements of infinite filtration in $K$-theory”, Soviet Math. Dokl., 9 (1968), 256–259
138.
V. M. Buchstaber, A. S. Mishchenko, “$K$-theory on the category of infinite cell complexes”, Math. USSR-Izv., 2:3 (1968), 515–556
1967
139.
A. S. Mishchenko, “Spectral sequences of Adams type”, Math. Notes, 1:3 (1967), 226–230 (1968)
1966
140.
A. S. Mischenko, “O ravnomerno zamknutykh otobrazheniyakh”, Fund. Math., 58 (1966), 285–308 (Russian)
A. S. Mischenko, “Neskolko teorem o proizvedeniyakh topologicheskikh prostranstv”, Fund. Math., 58 (1966), 259–284 (Russian)
1965
142.
V. Golshtynskii, A. S. Mischenko, “O stroenii prostranstv, podmnozhestva kotorykh deskriptivno regulyarny”, Byulleten Polskoi Akademii nauk, 13:8 (1965), 553–559 (Russian)
143.
A. Mishchenko, “Dimension of groups with a left-invariant topology”, Soviet Math. Dokl., 5 (1965), 1603–1605
1963
144.
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
1962
145.
A. S. Mishchenko, “Spaces with point-countable base”, Soviet Math. Dokl., 3 (1962), 855–858
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