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In memory of Yurii Petrovich Solovyev

Published online by Cambridge University Press:  09 September 2008

A. S. Mishchenko ,
Th. Yu. Popelensky  and
E. V. Troitsky
A. S. Mishchenko
Affiliation:
[email protected]. of Mechanics and MathematicsMoscow State UniversityMoscow, 119992Russia
Th. Yu. Popelensky
Affiliation:
[email protected]. of Mechanics and MathematicsMoscow State UniversityMoscow, 119992Russia
E. V. Troitsky
Affiliation:
[email protected]://mech.math.msu.su/~troitskyDept. of Mech. and Math.Moscow State University119992 GSP-2 Moscow, Russia

Abstract

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Type
Obituary
Information
Journal of K-Theory , Volume 2 , Special Issue 2: In Memory of Yurii Petrovich Solovyev October 8, 1944 – September 11, 2003 , October 2008 , pp. 209 - 218
Copyright
Copyright © ISOPP 2008

References

Selected publications

1.A theorem of Atiyah-Hirzebruch type for infinite-dimensional discrete groups, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1975, no. 4, 26–35; English transl., Moscow Univ. Math. Bull. 30:3/4 (1975), 77–85Google Scholar
2.Discrete subgroups, Bruhat-Tits buildings, and homotopy invariance of higher signatures, Uspekhi Mat. Nauk 35:1 (1975), 261–262 (Russian)Google Scholar
3.Homotopy invariants of rational homology manifold, Dokl. Akad. Nauk SSSR 230 (1976), 41–43; English transl., Soviet Math. Dokl. 17 (1976), 1260–1263Google Scholar
4. Problems in geometry, Izdat. Moskov. Gos. Univ., Moscow 1976 (with A. S. Mishchenko, S. P. Novikov, and A. T. Fomenko) (Russian)Google Scholar
5.Representations of C*–algebras and signature formulae, Proc. 7th All-Union Topology Conf.(Minsk, 1977), Inst. Mat., Akad. Nauk Belorussk. SSR, Minsk 1977 (with A.S. Mishchenko) (Russian)Google Scholar
6.Homotopy invariance of higher signatures for discrete subgroups of algebraic groups, Proc. 7th All-Union Topology Conf.(Minsk, 1977), Inst. Mat., Akad. Nauk Belorussk. SSR, Minsk 1977 (Russian)Google Scholar
7.On infinite-dimensional representations of fundamental groups and formulae of Hirzebruch type, Dokl. Akad. Nauk SSSR 234 (1977), 761–764 (with A.S. Mishchenko); English transl., Soviet Math. Dokl. 18 (1977), 767–771Google Scholar
8.Classifying space for Hermitian K-theory, Trudy Sem. Vektor. Tenzor. Anal. 18 (1978), 140–168 (with A.S. Mishchenko); English transl., Selecta Math. Sov. 8:2 (1989), 159–187Google Scholar
9.Quillen constructions in Hermitian K-theory, Dokl. Akad. Nauk SSSR 253 (1980), 301–304; English transl., Soviet Math. Dokl. 22 (1980), 96–99Google Scholar
10.Representations of Banach algebras and formulae of Hirzebruch type, Mat. Sb. Ill (1980), 209–226 (with A.S. Mishchenko); English transl., Math. USSR-Sb. 39 (1981), 189–205Google Scholar
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12. Collection of problems on differential geometry and topology, Izdat. Moskov. Gos. Univ., Moscow 1981 (with A.S. Mishchenko and A.T. Fomenko) (Russian)Google Scholar
13. Differential geometry, Izdat. Moskov. Gos. Univ., Moscow 1981 (with A.M. Vasil'ev) (Russian)Google Scholar
14. Topology, Izdat. Moskov. Gos. Univ., Moscow 1982 (with Yu. G. Borisovich and V. G. Zvyagin) (Russian)Google Scholar
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18.Hermitian K-theory of topological spaces, Proc. Internat. Topology Conf.(Leningrad, 1982), Nauka, Leningrad 1983, pp. 100–112 (Russian)Google Scholar
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20. Problems in differential geometry and topology, Mir, Moscow 1985 (with A. S. Mishchenko and A.T. Fomenko)Google Scholar
21.Dihedral homology and Hermitian K-theory of topological spaces, Uspekhi Mat. Nauk 41:2 (1986), 195–196 (with R. L. Krasauskas); English transl., Russian Math. Surveys 41:2 (1986), 203–204Google Scholar
22.Characteristic classes in algebraic K-theory, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1986, no. 1, 75–76 (with Yu.A. Zhuraev and A.S. Mishchenko); English transl., Moscow Univ. Math. Bull 41:1 (1986), 80–82Google Scholar
23. Algebraic K-theory of quadratic forms, Itogi Nauki i Tekhniki: Algebra, Topologiya, Geometriya, vol. 24, VINITI, Moscow 1986, pp. 121–194; English transl., J. Soviet Math. 44 (1989), 319–371Google Scholar
24.Dihedral homology and cohomology, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1987, no. 4, 28–32 (with R. L. Krasauskas and S. V. Lapin); English transl., Moscow Univ. Math. Bull. 42:4 (1987), 36–40Google Scholar
25.Dihedral homology and cohomology. Basic concepts and constructions, Mat. Sb. 133 (1987), 25–48 (with R. L. Krasauskas and S.V. Lapin); English transl., Math. USSR-Sb. 61 (1988), 23–47Google Scholar
26. Differential geometry, 2nd rev. aug. ed., Izdat. Moskov. Gos. Univ., Moscow 1988 (with A.M. Vasil'ev) (Russian)Google Scholar
27.Rational Hermitian K-theory and dihedral homology, Izv. Akad. Nauk SSSR. Ser. Mat. 52 (1988), 935–969 (with R. L. Krasauskas); English transl., Math. USSR-Izv. 33 (1989), 261–293Google Scholar
28. Topology, Izdat. Moskov. Gos. Univ., Moscow 1988 (with B. A. Dubrovin) (Russian)Google Scholar
29.Rational homotopy type of Hermitian K-theory, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1990, no. 5, 77–80 (with V. A. Kolosov); English transl., Moscow Univ. Math. Bull. 45:5 (1990), 62–64Google Scholar
30.Topology of four-dimensional manifolds, Uspekhi Mat. Nauk 46:2 (1991), 145–202; English transl., Russian Math. Surveys 46:2 (1991), 167–232Google Scholar
31. Differential geometry, Izdat. Serbsk. Akad. Nauk, Belgrad 1991 (with Ch. Dolichanin) (Russian)Google Scholar
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33.Algebraic K-theory and dihedral homology, Humboldt-Universitat, Berlin 1992Google Scholar
34. Lectures on homology with internal symmetries, Internat. Center for Theoret. Physics, Trieste 1992Google Scholar
35. Elliptic functions and elliptic curves, Izdat. Nezavisim. Univ., Moscow 1993 (with V. V. Prasolov) (Russian)Google Scholar
36.Symmetric bar-construction and combinatorial topological models, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1994, no. 3, 90–92 (with V. A. Kolosov); English transl., Moscow Univ. Math. Bull. 49:3 (1994), 56–58Google Scholar
37. Algebraic equations and theta-functions, Izdat. Nezavisim. Univ., Moscow 1994 (with V. V. Prasolov) (Russian)Google Scholar
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43.Method of approximate computation of path integrals, using perturbation theory with convergent series. II, Teoret. Mat. Fiz. 109 (1996), 60–69 (with V. V. Belokurov and E. T. Shavgulidze); English transl., Theoret. and Math. Phys. 109 (1996), 1294–1301Google Scholar
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47. Elliptic functions and elliptic integrals, Amer. Math. Soc., Providence, RI 1997 (with V. V. Prasolov)Google Scholar
48.Perturbation theory with convergent series for functional integrals with respect to the Feynman measure, Uspekhi Mat. Nauk 52:2 (1997), 153–154 (with V. V, Belokurov and E. T. Shavgulidze); English transl., Russian Math. Surveys 52 (1997), 392–393Google Scholar
49. Elliptic functions and algebraic equations, Faktorial, Moscow 1997 (with V. V. Prasolov) (Russian)Google Scholar
50.Computation of functional integrals using convergent series, Fundam. i Prikl. Mat. 3 (1997), 693–713 (with V. V. Belokurov and E. T. Shavgulidze) (Russian)Google Scholar
51. Rational points on elliptic curves, Sorosovskii Obrazovatel'nyi Zhurnal (Soros Educational J.) 1997, no. 10 (Russian)Google Scholar
52.Accumulation of structural radiation defects in quartz in cooling systems: basics for dating, Phys. Chern. Minerals 25:2 (1998), 243–248 (with D. G. Koshchug)Google Scholar
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55.Perturbation theory with convergent series for computing physical quantities given by finitely many terms of a divergent series in the traditional perturbation theory, Teoret. Mat. Fiz. 123 (2000), 452–461 (with V.V. Belokurov and E. T. Shavgulidze); English transl., Theoret. and Math. Phys. 123 (2000), 792–800Google Scholar
56.ESR dating of cooling natural systems, Vestnik Moskov. Univ. Ser. IV Geolog. 1999, no. 4, 31–39 (with D.G. Koshchug); English transl., Moscow Univ. Geolog. Bull. 54:4 (1999), 28–42Google Scholar
57.Thermal stability of paramagnetic centers in quartz in natural environments, Proc. 9th Internat. Conf. on Luminescence and Electron Spin Resonance Dating,Rome, 1999 (with D.G. Koshchug)Google Scholar
58. Problems in algebra and number theory, Izdat. Moskov. Gos. Univ., A.N. Kolmogorov School, Moscow 1999 (Russian)Google Scholar
59.A general approach to the calculation of functional integrals and the summation of divergent series, Fundam. i Prikl. Mat. 5 (1999), 363–376 (with V.V. Belokurov and E.T. Shavgulidze) (Russian)Google Scholar
60. C*–algebras and elliptic operators in differential topology, Amer. Math. Soc., Providence, RI 2001 (with E.V. Troitsky)Google Scholar
61.New perturbation theory for quantum field theory: convergent series instead of asymptotic expansions, Acta Appl. Math. 68:1–3 (2001), 71–104 (with V.V. Belokurov and E.T. Shavgulidze)Google Scholar
62.Computation of the β-function in the φ4-model in a broad interval of values of the coupling constant, Vestnik Moskov. Univ. Ser. Ill Fiz. Astron. 2001, no. 1, 3–9 (with V.V. Belokurov, E.T. Shavgulidze, and I. L. Yudin); English transl., Moscow Univ. Phys. Bull. 56:1 (2001), 1–6Google Scholar
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