Fuchs Dmitrii Borisovich

Publications in Math-Net.Ru

1. Iterating evolutes of spacial polygons and of spacial curves
   
   Mosc. Math. J., 17:4 (2017),  667–689
2. Cohomology of the Lie Algebra $\mathfrak{H}_2$: Experimental Results and Conjectures
   
   Funktsional. Anal. i Prilozhen., 48:2 (2014),  67–78
3. Periodic trajectories in the regular pentagon, II
   
   Mosc. Math. J., 13:1 (2013),  19–32
4. Periodic trajectories in the regular pentagon
   
   Mosc. Math. J., 11:3 (2011),  439–461
5. Двадцать семь прямых
   
   Mat. Pros., Ser. 3, 12 (2008),  145–160
6. Projections of Singular Vectors of Verma Modules over Rank 2 Kac–Moody Lie Algebras
   
   SIGMA, 4 (2008), 059, 11 pp.
7. Closed geodesics on regular polyhedra
   
   Mosc. Math. J., 7:2 (2007),  265–279
8. Invariants of Legendrian knots and decompositions of front diagrams
   
   Mosc. Math. J., 4:3 (2004),  707–717
9. On the Restricted Lie Algebra Structure of the Witt Lie Algebra in Finite Characteristic
   
   Funktsional. Anal. i Prilozhen., 36:2 (2002),  69–74
10. Two projections of singular vectors of Verma modules over the affine Lie albegra $A_1^1$
    
    Funktsional. Anal. i Prilozhen., 23:2 (1989),  81–83
11. Homology and cohomology
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 24 (1988),  123–239
12. Introduction to homotopy theory
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 24 (1988),  6–121
13. Cohomology of Lie groups and Lie algebras
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 21 (1988),  121–209
14. Singular vectors in Verma modules over Kac–Moody algebras
    
    Funktsional. Anal. i Prilozhen., 20:2 (1986),  25–37
15. Classical manifolds
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 12 (1986),  253–314
16. Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector field on the plane
    
    Funktsional. Anal. i Prilozhen., 19:4 (1985),  68–73
17. Stable cohomology of the algebra $W_n$ and relations in the algebra $L_1$
    
    Funktsional. Anal. i Prilozhen., 18:3 (1984),  94–95
18. Casimir operators in modules over the Virasoro algebra
    
    Dokl. Akad. Nauk SSSR, 269:5 (1983),  1057–1060
19. Stable cohomologies of a Lie algebra of formal vector fields with tensor coefficients
    
    Funktsional. Anal. i Prilozhen., 17:4 (1983),  62–69
20. Verma modules over the virasoro algebra
    
    Funktsional. Anal. i Prilozhen., 17:3 (1983),  91–92
21. Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
    
    Funktsional. Anal. i Prilozhen., 16:2 (1982),  47–63
22. Foliations
    
    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 18 (1981),  151–213
23. Homology of the Lie algebra of vector fields on the line
    
    Funktsional. Anal. i Prilozhen., 14:3 (1980),  45–60
24. Invariant differential operators on the line
    
    Funktsional. Anal. i Prilozhen., 13:4 (1979),  91–92
25. Cohomology of infinite-dimensional Lie algebras and Laplace operators
    
    Funktsional. Anal. i Prilozhen., 12:4 (1978),  1–5
26. Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 10 (1978),  179–285
27. Finite-dimensional Lie algebras of formal vector fields and characteristic classes of homogeneous foliations
    
    Izv. Akad. Nauk SSSR Ser. Mat., 40:1 (1976),  57–64
28. $PL$-foliations. II
    
    Funktsional. Anal. i Prilozhen., 8:3 (1974),  7–11
29. Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations
    
    Funktsional. Anal. i Prilozhen., 8:2 (1974),  13–29
30. Quillenization and bordism
    
    Funktsional. Anal. i Prilozhen., 8:1 (1974),  36–42
31. $PL$ foliations
    
    Funktsional. Anal. i Prilozhen., 7:4 (1973),  29–37
32. Characteristic classes of foliations
    
    Uspekhi Mat. Nauk, 28:2(170) (1973),  3–17
33. Cohomology of the Lie algebra of Hamiltonian formal vector fields
    
    Funktsional. Anal. i Prilozhen., 6:3 (1972),  25–29
34. The actions of infinite-dimensional Lie algebras
    
    Funktsional. Anal. i Prilozhen., 6:1 (1972),  10–15
35. Homotopic topology
    
    Itogi Nauki. Ser. Mat. Algebra. Topol. Geom. 1969, 1971,  71–122
36. Cohomologies of the Lie algebra of smooth vector fields
    
    Dokl. Akad. Nauk SSSR, 190:6 (1970),  1267–1270
37. Upper bounds for cohomology of infinite-dimensional Lie algebras
    
    Funktsional. Anal. i Prilozhen., 4:4 (1970),  70–71
38. Cohomologies of Lie algebra of vector fields with nontrivial coefficients
    
    Funktsional. Anal. i Prilozhen., 4:3 (1970),  10–25
39. Cohomologies of the braid group $\operatorname{mod}2$
    
    Funktsional. Anal. i Prilozhen., 4:2 (1970),  62–73
40. Cohomologies of Lie algebra of tangential vector fields. II
    
    Funktsional. Anal. i Prilozhen., 4:2 (1970),  23–31
41. Cohomology of the Lie algebra of formal vector fields
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:2 (1970),  322–337
42. Cycles that represent cohomology classes of the Lie algebra of formal vector fields
    
    Uspekhi Mat. Nauk, 25:5(155) (1970),  239–240
43. Cohomologies of Lie algebra of tangential vector fields of a smooth manifold
    
    Funktsional. Anal. i Prilozhen., 3:3 (1969),  32–52
44. Cohomologies of Lie algebras of vector fields on a manifold
    
    Funktsional. Anal. i Prilozhen., 3:2 (1969),  87
45. Classifying spaces for principal bundles with Hausdorff bases
    
    Dokl. Akad. Nauk SSSR, 181:3 (1968),  515–518
46. The Maslov–Arnolʹd characteristic classes
    
    Dokl. Akad. Nauk SSSR, 178:2 (1968),  303–306
47. The cohomologies of the lie algebra of the vector fields in a circle
    
    Funktsional. Anal. i Prilozhen., 2:4 (1968),  92–93
48. Topological invariants of noncompact Lie groups connected with infinite dimensional representations
    
    Dokl. Akad. Nauk SSSR, 177:4 (1967),  763–766
49. Some remarks on the duality of functors in the category of abelian groups
    
    Dokl. Akad. Nauk SSSR, 176:2 (1967),  273–276
50. Cohomology of Lie groups with real coefficients
    
    Dokl. Akad. Nauk SSSR, 176:1 (1967),  24–27
51. Duality of functors in the category of homotopy types
    
    Dokl. Akad. Nauk SSSR, 175:6 (1967),  1232–1235
52. Topology of noncompact Lie groups
    
    Funktsional. Anal. i Prilozhen., 1:4 (1967),  33–45
53. Eilenberg–MacLane complexes
    
    Uspekhi Mat. Nauk, 21:5(131) (1966),  213–215
54. The spectral sequence of a fibering
    
    Uspekhi Mat. Nauk, 21:5(131) (1966),  149–180
55. Eckmann–Hilton duality and the theory of functors in the category of topological spaces
    
    Uspekhi Mat. Nauk, 21:2(128) (1966),  3–40
56. Natural mappings of functors in a category of topological spaces
    
    Mat. Sb. (N.S.), 62(104):2 (1963),  160–179
57. On the homotopy theory of functors in the category of topological spaces
    
    Dokl. Akad. Nauk SSSR, 143:3 (1962),  543–546
58. On homotopy duality
    
    Dokl. Akad. Nauk SSSR, 141:4 (1961),  818–821
59. Rational approximations to irrational numbers with bounded partial quotients
    
    Dokl. Akad. Nauk SSSR, 118:5 (1958),  862–865


60. О стихотворных размерах
    
    Kvant, 2020, no. 2,  9–16
61. Alexandre Mikhailovich Vinogradov (obituary)
    
    Uspekhi Mat. Nauk, 75:2(452) (2020),  185–190
62. Vladimir Antonovich Zorich (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 73:5(443) (2018),  193–196
63. Alexei Bronislavovich Sossinsky turns 80
    
    Mosc. Math. J., 17:3 (2017),  555–558
64. Невозможные замощения
    
    Kvant, 2011, no. 2,  19–26
65. Вспоминая Беллу Абрамовну
    
    Mat. Pros., Ser. 3, 9 (2005),  16–29
66. Boris Feigin
    
    Mosc. Math. J., 4:3 (2004),  537–546
67. Vladimir Abramovich Rokhlin (obituary)
    
    Uspekhi Mat. Nauk, 41:3(249) (1986),  159–163
68. Regional Mathematical School in Syktyvkar
    
    Uspekhi Mat. Nauk, 31:4(190) (1976),  301
69. The work of I. M. Gel'fand on functional analysis, algebra and topology
    
    Uspekhi Mat. Nauk, 29:1(175) (1974),  195–223
70. Second Summer Topological School
    
    Uspekhi Mat. Nauk, 21:2(128) (1966),  257–258
71. Поправки к статье “О рациональных приближениях к иррациональным числам с ограниченными неполными частными” (ДАН, т. 118, № 5, 1958 г.)
    
    Dokl. Akad. Nauk SSSR, 119:6 (1958),  1062