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
A. S. Mishchenko, A. T. Fomenko, “Generalized Liouville method of integration of Hamiltonian systems”, Funct. Anal. Appl., 12:2 (1978), 113–121
2.
A. S. Mishchenko, A. T. Fomenko, “Euler equations on finite-dimensional Lie groups”, Math. USSR-Izv., 12:2 (1978), 371–389
3.
A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$-algebras”, Math. USSR-Izv., 15:1 (1980), 87–112
4.
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.
A. S. Mishchenko, “Integral geodesics of a flow on Lie groups”, Funct. Anal. Appl., 4:3 (1970), 232–235
6.
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
7.
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
8.
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
9.
A. S. Mishchenko, “Infinite-dimensional representations of discrete groups, and higher signatures”, Math. USSR-Izv., 8:1 (1974), 85–111
10.
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)
11.
A. S. Mishchenko, “Hermitian $K$-theory. The theory of characteristic classes and methods of functional analysis”, Russian Math. Surveys, 31:2 (1976), 71–138
12.
A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. I. Rational invariants”, Math. USSR-Izv., 4:3 (1970), 506–519
13.
V. M. Buchstaber, A. S. Mishchenko, “$K$-theory on the category of infinite cell complexes”, Math. USSR-Izv., 2:3 (1968), 515–556
14.
A. A. Arutyunov, A. S. Mishchenko, A. I. Shtern, “Derivations of group algebras”, J. Math. Sci., 248:6 (2020), 709–718
15.
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
16.
V. M. Manuilov, A. S. Mishchenko, “Asymptotic and Fredholm representations of discrete groups”, Sb. Math., 189:10 (1998), 1485–1504
17.
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
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
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
20.
A. S. Mishchenko, “Integration of geodesic flows on symmetric spaces”, Math. Notes, 31:2 (1982), 132–134
21.
A. S. Mishchenko, “On Fredholm representations of discrete groups”, Funct. Anal. Appl., 9:2 (1975), 121–125
22.
A. S. Mishchenko, Yu. P. Solov'ev, “Representations of Banach algebras and formulas of Hirzebruch type”, Math. USSR-Sb., 39:2 (1981), 189–205
23.
A. S. Mishchenko, “Banach algebras, pseudodifferential operators, and their application to $K$-theory”, Russian Math. Surveys, 34:6 (1979), 77–91
24.
A. S. Mishchenko, “Bordisms with the action of the group $Z_p$ and fixed points”, Math. USSR-Sb., 9:3 (1969), 291–296
25.
A. S. Mishchenko, “Manifolds with the action of the group $Z_p$ and fixed points”, Math. Notes, 4:4 (1968), 721–724 (1969)
26.
V. P. Maslov, A. S. Mishchenko, “Quasi-classical asymptotics of quasi-particles”, Sb. Math., 189:6 (1998), 901–930
27.
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
28.
L. S. Pontryagin, A. S. Mishchenko, “The linear differential game of pursuit (analytic theory)”, Math. USSR-Sb., 59:1 (1988), 129–154
29.
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. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures”, Math. USSR-Izv., 5:6 (1971), 1325–1364
31.
A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. II: Simple homotopy type”, Math. USSR-Izv., 5:3 (1971), 668–679
32.
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
33.
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
J. Kubarski, A. S. Mishchenko, “Lie algebroids: spectral sequences and signature”, Sb. Math., 194:7 (2003), 1079–1103
36.
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
37.
A. S. Mishchenko, “Representations of compact groups in Hilbert modules over $C^\ast$-algebras”, Proc. Steklov Inst. Math., 166 (1986), 179–195
38.
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, “Spectral sequences of Adams type”, Math. Notes, 1:3 (1967), 226–230 (1968)
40.
A. S. Mishchenko, “Spaces with point-countable base”, Soviet Math. Dokl., 3 (1962), 855–858
41.
A. S. Mishchenko, “Local Combinatorial Hirzebruch Formula”, Proc. Steklov Inst. Math., 224 (1999), 226–239
42.
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
43.
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
44.
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
45.
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 Kac–Ward Determinant”, Proc. Steklov Inst. Math., 225 (1999), 165–182
47.
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
48.
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
49.
A. S. Mishchenko, “Surgery of Poincaré complexes”, Math. USSR-Sb., 14:3 (1971), 359–366
50.
A. S. Mischenko, “O ravnomerno zamknutykh otobrazheniyakh”, Fund. Math., 58 (1966), 285–308 (Russian)
A. S. Mishchenko, “Notes on a Category-Theoretic Definition of Maslov Classes of a Lagrangian Manifold”, Math. Notes, 114:3 (2023), 412–414
53.
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. Mishchenko, “Nondegenerate cohomology pairing for transitive Lie algebroids, characterization”, Cent. Eur. J. Math., 2:5 (2004), 663–707
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
57.
A. S. Mishchenko, “A Theory of Almost Algebraic Poincaré Complexes”, Proc. Steklov Inst. Math., 231 (2000), 281–307
58.
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
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
60.
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
61.
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
62.
V. M. Bukhshtaber, A. S. Mishchenko, “Elements of infinite filtration in $K$-theory”, Soviet Math. Dokl., 9 (1968), 256–259
63.
A. Mishchenko, “Dimension of groups with a left-invariant topology”, Soviet Math. Dokl., 5 (1965), 1603–1605
64.
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
65.
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
66.
A. S. Mishchenko, Xiaoyu Li, “Transitive Lie algebroids. Categorical point of view”, J. Math. Sci., 223:6 (2017), 739–755
67.
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
68.
Xiaoyu Li, A. S. Mishchenko, Description of coupling in the category of transitive Lie algebroids, 2013 , 13 pp., arXiv: 1310.5824
69.
Xiaoyu Li, A. S. Mishchenko, The existence of coupling in the category of transitive Lie algebroid, 2013 , 8 pp., arXiv: 1306.5449
70.
A. S. Mishchenko, XiaoYu Li, Comparison of categorical characteristic classes of transitive Lie algebroid with Chern-Weil homomorphism, 2012 , 13 pp., arXiv: 1208.6564
71.
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
72.
A. S. Mishchenko, J. Ribeiro, Generalization of the Sullivan construction for transitive Lie algebroids, 2011 , arXiv: 1102.5698
73.
A. S. Mishchenko, Characteristic classes of transitive Lie algebroids. Categorical point of view, 2011 , 52 pp., arXiv: 1111.6823
74.
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
75.
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
76.
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
77.
A. T. Fomenko, A. S. Mishchenko, A short course in differential geometry and topology, Cambridge Scientific Pub., Cambridge, 2009 , xii+273 pp.
78.
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
79.
A. S. Mischenko, “Bordizmy mnogoobrazii s sobstvennym deistviem diskretnykh grupp”, Trudy konferentsii “Geometriya v tselom, topologiya i ikh prilozheniya”, Kharkov, 2009
80.
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
81.
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
82.
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
83.
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
84.
A. S. Mishchenko, P. S. Popov, “Poincaré duality and signature for topological manifolds”, Topology Appl., 155:17-18 (2008), 2041–2047
85.
A. S. Mishchenko, “$K$-theory over $C^*$-algebras”, Geometry and topology of manifolds, Banach Center Publ., 76, Polish Acad. Sci., Warsaw, 2007, 245–266
86.
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
87.
J. Kubarski, A. S. Mishchenko, “Lie algebroids: spectral sequences and signature”, Dokl. Math., 68:2 (2003), 188–190
88.
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
89.
A. S. Mishchenko, “The development of noncommutative geometry at Moscow University”, Moscow Univ. Math. Bull., 58:3 (2003), 29–36 (2004)
90.
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
91.
G. Luke Glenys, A. S. Mishchenko, Vector bundles and their applications, Mathematics and its Applications, 447, Kluwer Academic Publishers, Dordrecht, 1998 , viii+254 pp.
92.
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
93.
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
94.
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
95.
A. S. Mishchenko, V. Ya. Pidstrigach, “The cohomological trace of differential operators with parameters”, Proc. Steklov Inst. Math., 193 (1993), 155–159
96.
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)
97.
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
98.
A. Mishchenko, A. Fomenko, A course of differential geometry and topology, “Mir”, Moscow, 1988 , 455 pp.
99.
L. S. Pontryagin, A. S. Mishchenko, “Linear differential games (an analytic theory based on alternating integration)”, Proc. Steklov Inst. Math., 185 (1990), 233–240
100.
A. S. Mishchenko, Z. Switalski, “On a geometric interpretation of differential operators with periodic coefficients”, Russian Math. Surveys, 41:2 (1986), 211–212
101.
A. S. Mishchenko, Yu. P. Solovyev, A. T. Fomenko, Problems in differential geometry and topology, “Mir”, Moscow, 1985 , iv+208 pp.
102.
A. S. Mishchenko, Vector bundles and their applications, “Nauka”, Moscow, 1984 , 208 pp. (Russian)
103.
A. S. Miscenko, “On some homotopy invariants of pseudo-Riemannian metrics”, Topology (Leningrad, 1982), Lecture Notes in Math., 1060, Springer, Berlin, 1984, 341–347
104.
A. S. Mishchenko, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 203–216 (Russian)
105.
A. S. Mishchenko, “Topological problems in analysis”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 213–215 (Russian)
106.
A. S. Mishchenko, “Functional methods in topology”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 212–213 (Russian)
107.
A. S. Mischenko, “Methods of a stable algebra in problems of differential topology”, Ocherki razvitiya matematiki v SSSR, Naukova dumka, Kiev, 1983, 209–212
108.
A. S. Mishchenko, “Methods of generalized homology theories”, Outlines of the development of mathematics in the USSR, “Naukova Dumka”, Kiev, 1983, 206–209 (Russian)
109.
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)
110.
A. S. Mishchenko, “Integration of geodesic flows on symmetric spaces”, Trudy Sem. Vektor. Tenzor. Anal., 21, 1983, 13–22 (Russian)
111.
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)
112.
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)
113.
A. S. Miščenko, A. T. Fomenko, “Integration of Hamiltonian systems with noncommutative symmetries”, Trudy Sem. Vektor. Tenzor. Anal., 20, 1981, 5–54 (Russian)
114.
A. S. Mishchenko, A. T. Fomenko, A course in differential geometry and topology, Moskov. Gos. Univ., Moscow, 1980 , 440 pp. (Russian)
115.
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
116.
A. S. Miščenko, A. T. Fomenko, “Integrability of Euler's equations on semisimple Lie algebras”, Trudy Sem. Vektor. Tenzor. Anal., 19, 1979, 3–94
117.
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)
118.
A. S. Mishchenko, B. Yu. Sternin, V. E. Shatalov, Lagrangian manifolds and the method of the canonical operator, “Nauka”, Moscow, 1978 , 352 pp. (Russian)
119.
A. S. Miščenko, Ju. P. Solovʹev, “A classifying space for Hermitian $K$-theory”, Trudy Sem. Vektor. Tenzor. Anal., 18, 1978, 140–168 (Russian)
120.
A. S. Mishchenko, “The theory of elliptic operators over $C^*$-algebras”, Soviet Math. Dokl., 19 (1978), 512–515
121.
A. S. Mischenko, A. T. Fomenko, “Nekommutativnoe integrirovanie gamiltonovykh sistem i ego prilozheniya”, Izv. AN SSSR. Mekhanika tverdogo tela, 1978, no. 4, 187–188
122.
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
123.
A. S. Mishchenko, “Remark on my paper “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures””, Math. USSR-Izv., 6:4 (1972), 904
124.
A. S. Mishchenko, “Extraordinary homology theories: bordism and $K$-theory”, Actes du Congrès International des Mathématiciens (1970, Nice), Gauthier-Villars, Paris, 1971, 113–119
125.
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)
126.
A. S. Mishchenko, “Involution of manifolds with a set of fixed points diffeomorphic to real projective space”, Math. Notes, 9:3 (1971), 148–149
127.
A. S. Mishchenko, “Homotopy invariance of higher signatures of non-simply connected manifolds”, Uspekhi Mat. Nauk, 26:4(160) (1971), 239–240
128.
A. S. Mischenko, “Neskolko teorem o proizvedeniyakh topologicheskikh prostranstv”, Fund. Math., 58 (1966), 259–284 (Russian)
129.
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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
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A. S. Mishchenko, “Maslov index on symplectic manifolds infinitesimal Lagrangian manifolds”, Journal of Mathematical Sciences, 287:4 (2024), 601–608
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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
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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
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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
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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
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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
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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
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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
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A. S. Mishchenko, “Andrew Wallace, Differential topology: First steps (review)”, Uspekhi Mat. Nauk, 24:5(149) (1969), 255
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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
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