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Fuchs, Dmitry Borisovich

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Author ID: fuchs.dmitry-b Recent zbMATH articles by "Fuchs, Dmitry Borisovich"
Published as: Fuchs, D.; Fuchs, D. B.; Fuchs, Dimitri; Fuchs, Dmitry; Fuchs, Dmitry B.; Fuks, D. B.
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Documents Indexed: 121 Publications since 1958, including 14 Books
Biographic References: 3 Publications
all top 5

Co-Authors

33 single-authored
21 Gel’fand, Israil’ Moiseevich
20 Feĭgin, Boris L’vovich
10 Tabachnikov, Serge L.
5 Novikov, Sergeĭ Petrovich
4 Fomenko, Anatoliĭ Timofeevich
4 Kirillov, Alexandre Aleksandrovich
4 Vasil’ev, Viktor Anatol’evich
4 Viro, Oleg Ya.
3 Ilyashenko, Yulij Sergeevich
3 Lando, Sergei K.
3 Rokhlin, Vladimir Abramovich
3 Schwarz, Albert S.
3 Sinaĭ, Yakov Grigor’evich
3 Vershik, Anatoliĭ Moiseevich
2 Arnol’d, Vladimir Igorevich
2 Bukhshtaber, Viktor Matveevich
2 Epstein, Judith
2 Evans, Tyler J.
2 Fialowski, Alice
2 Gindikin, Simon Grigorevich
2 Kolmogorov, Andreĭ Nikolaevich
2 Krichever, Igor’ Moiseevich
2 Shvarts, A. S.
2 Wilmarth, Constance
1 Aptekarev, Alexander Ivanovich
1 Arnold, Maxim
1 Astashkevich, A. B.
1 Astashov, A. M.
1 Astashova, Irina Viktorovna
1 Bocharov, Alexei V.
1 Chernavskij, A. V.
1 Chetverikov, Vladimir N.
1 Chirka, Evgeni M.
1 Davis, Diana
1 Fuchs, Ekaterina
1 Gabrielov, Andrei
1 Gamkrelidze, Revaz Valerianovich
1 Gromov, Mikhael Leonidovich
1 Gussein-Zade, S.
1 Gutenmacher, V. L.
1 Gutenmaher, V. L.
1 Helemskii, Alexander Ya.
1 Hofer, Helmut H. W.
1 Ishkhanov, Tigran
1 Izmestiev, Ivan
1 Kac, Victor G.
1 Kalinin, D. I.
1 Karpenkov, Oleg Nikolaevich
1 Kashin, Boris Sergeevich
1 Kazhdan, David A.
1 Kesel’man, V. M.
1 Khesin, Boris A.
1 Khor’kova, Nina Grigor’evna
1 Khovanskiĭ, Askold Georgievich
1 Kontsevich, Maxim Lvovich
1 Kosmann-Schwarzbach, Yvette
1 Kozlov, Valeriĭ Vasil’evich
1 Krasil’shchik, Iosif Semënovich
1 Krishchenko, Alexander P.
1 Kruzhilin, Nikolai Georgievich
1 Leites, Dimitry A.
1 Lychagin, Valentin V.
1 Malikov, Fyodor
1 Manin, Yuri Ivanovich
1 Margulis, Grigoriĭ Aleksandrovich
1 Marvan, Michal
1 Maslov, Viktor Pavlovich
1 Matveev, Sergeĭ Vladimirovich
1 Meyer, Maike
1 Mishchenko, Aleksandr Sergeevich
1 Mohammadzadeh, Seyed Asghar
1 Morier-Genoud, Sophie
1 Nemirovskiĭ, Stefan Yur’evich
1 Ovsienko, Valentin Yu.
1 Reshetnyak, Yuriĭ Grigor’evich
1 Retakh, Vladimir Solomonovich
1 Rubtsov, Vladimir Nikolaevich
1 Rutherford, Dan
1 Samokhin, Alexey V.
1 Shiryaev, Al’bert Nikolaevich
1 Skopenkov, Mikhail B.
1 Sosinskiĭ, Alekseĭ Bronislavovich
1 Stasheff, James D.
1 Suetin, Sergeĭ Pavlovich
1 Tikhomirov, Vladimir Mikhaĭlovich
1 Treshchev, Dmitriĭ Valer’evich
1 Tsfasman, Michael A.
1 Tsukerman, Emmanuel
1 Verbovetsky, Alexander Moiseevich
1 Veselov, Alexander Petrovich
1 Vinogradov, Michael M.
1 Vitagliano, Luca
1 Vitolo, Raffaele F.
1 Voronov, Theodore
1 Weldon, Lynelle Lang

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 1,122 times in 930 Documents Cited by Year
Cohomology of infinite-dimensional Lie algebras. Transl. from the Russian by A. B. Sosinskiĭ. Zbl 0667.17005
Fuks, D. B.
142
1986
Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra. Zbl 0505.58031
Feĭgin, B. L.; Fuks, D. B.
80
1982
Construction of miniversal deformations of Lie algebras. Zbl 0944.17015
Fialowski, Alice; Fuchs, Dmitry
53
1999
The cohomologies of the Lie algebra of the vector fields in a circle. Zbl 0176.11501
Gel’fand, I. M.; Fuks, D. B.
43
1968
Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006
Fuchs, Dmitry; Tabachnikov, Serge
42
1997
Cohomology of infinite dimensional Lie algebras. Zbl 0592.17011
Fuks, D. B.
40
1984
A course in homotopic topology. Textbook. Zbl 0675.55001
Fomenko, A. T.; Fuks, D. B.
35
1989
Verma modules over the Virasoro algebra. Zbl 0549.17010
Feigin, B. L.; Fuks, D. B.
31
1984
Chekanov–Eliashberg invariant of Legendrian knots: Existence of augmentations. Zbl 1028.57005
Fuchs, Dmitry
30
2003
Verma modules over the Virasoro algebra. Zbl 0529.17010
Feigin, B. L.; Fuks, D. B.
29
1983
Verma modules over the Virasoro algebra. Zbl 0526.17010
Feigin, B. L.; Fuks, D. B.
27
1983
Homology of the Lie algebra of vector fields on the line. Zbl 0487.57011
Feĭgin, B. L.; Fuks, D. B.
27
1981
On the homotopy theory of functors in the category of topological spaces. Zbl 0126.18504
Fuks, D. B.; Shvarts, A. S.
27
1962
Singular vectors in Verma modules over Kac-Moody algebras. Zbl 0616.17010
Malikov, F. G.; Feigin, B. L.; Fuks, D. B.
26
1986
Beginner’s course in topology. Geometric chapters. Transl. from the Russian by A. Iacob. Zbl 0562.54003
Fuks, D. B.; Rokhlin, V. A.
25
1984
Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004
Fuchs, Dmitry; Tabachnikov, Serge
24
2007
Chekanov-Eliashberg invariants and transverse approximations of Legendrian knots. Zbl 1049.57005
Epstein, Judith; Fuchs, Dmitry; Meyer, Maike
23
2001
Representations of the Virasoro algebra. Zbl 0722.17020
Feigin, B. L.; Fuks, D. B.
23
1990
Cohomology of Lie superalgebras. Zbl 0586.17005
Fuks, D. B.; Leites, D. A.
23
1984
Cohomologies of the group COS mod 2. Zbl 0222.57031
Fuks, D. B.
22
1970
Representations of the Virasoro algebra. Zbl 0642.17007
Feigin, B. L.; Fuks, D. B.
19
1984
Elementary course of topology. Geometrical chapters. (Nachal’nyj kurs topologii. Geometricheskie glavy). Zbl 0417.55002
Rokhlin, V. A.; Fuks, D. B.
18
1977
Invariants of Legendrian knots and decompositions of front diagrams. Zbl 1073.53106
Fuchs, Dmitry; Ishkhanov, Tigran
16
2004
Cohomology of the Lie algebra of formal vector fields. Zbl 0216.20302
Gel’fand, I. M.; Fuks, D. B.
16
1971
Generating families and Legendrian contact homology in the standard contact space. Zbl 1237.57026
Fuchs, Dmitry; Rutherford, Dan
15
2011
Homotopic topology. (Transl. from the Russian by K. Mályusz). Zbl 0615.55001
Fomenko, A. T.; Fuks, D. B.; Gutenmacher, V. L.
15
1986
Cohomologies of Lie groups and Lie algebras. Zbl 0653.17008
Feĭgin, B. L.; Fuks, D. B.
14
1988
Maslov-Arnol’d characteristic classes. Zbl 0175.20304
Fuks, D. B.
13
1968
Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras. Zbl 0692.17008
Feigin, B. L.; Fuks, D. B.
12
1988
Cohomologies of Lie groups and Lie algebras. Zbl 0931.17014
Feigin, B. L.; Fuchs, D. B.
12
1988
Quillenization and bordisms. Zbl 0324.57024
Fuks, D. B.
11
1974
Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations. Zbl 0499.57001
Fuks, D. B.
10
1978
Cohomologies of the Lie algebra of tangential vector fields of a smooth manifold. Zbl 0216.20301
Gel’fand, I. M.; Fuks, D. B.
10
1969
The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations. Zbl 0347.57009
Fuchs, D. B.; Gabrielov, A. M.; Gel’fand, I. M.
9
1976
Massey brackets and deformations. Zbl 1054.17018
Fuchs, Dmitry; Weldon, Lynelle Lang
8
2001
More on paperfolding. Zbl 1037.53501
Fuchs, Dmitry; Tabachnikov, Serge
8
1999
Homotopical topology. Translated from the Russian. 2nd edition. Zbl 1346.55001
Fomenko, Anatoly; Fuchs, Dmitry
6
2016
Self-dual polygons and self-dual curves. Zbl 1180.51012
Fuchs, Dmitry; Tabachnikov, Serge
6
2009
Closed geodesics on regular polyhedra. Zbl 1129.53022
Fuchs, Dmitry; Fuchs, Ekaterina
6
2007
On the invariants of Legendrian mirror torus links. Zbl 1044.57007
Epstein, Judith; Fuchs, Dmitry
6
2003
Cohomologies of a Lie algebra of vector fields on the straight line. Zbl 0482.57010
Feĭgin, B. L.; Fuks, D. B.
6
1980
A complex for the cohomology of restricted Lie algebras. Zbl 1178.17018
Evans, Tyler J.; Fuchs, Dmitry
5
2008
Cohomologies of Lie algebra of vector fields with nontrivial coefficients. Zbl 0222.58001
Gel’fand, I. M.; Fuks, D. B.
5
1970
Periodic trajectories in the regular pentagon. Zbl 1276.37033
Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge
4
2011
Singular deformations of Lie algebras. Example: Deformations of the Lie algebra \(L_ 1\). Zbl 0883.17023
Fialowski, Alice; Fuchs, Dmitry
4
1997
Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations. Zbl 0298.57011
Gel’fand, I. M.; Feigin, B. L.; Fuks, D. B.
4
1974
Characteristic classes of foliations. Zbl 0274.57005
Fuks, D. B.
4
1973
The actions of infinite-dimensional Lie algebras. Zbl 0267.18023
Gel’fand, I. M.; Kazhdan, D. A.; Fuks, D. B.
4
1972
Evolutes and involutes of spatial curves. Zbl 1273.53004
Fuchs, Dmitry
3
2013
Asymptotics for singular vectors in Verma modules over the Virasoro algebra. Zbl 0898.17012
Astashkevich, A.; Fuchs, D.
3
1997
Matrix Vieta theorem. Zbl 0837.15011
Fuchs, Dmitry; Schwarz, Albert
3
1995
Singular vectors over the Virasoro algebra and extended Verma modules. Zbl 0827.17028
Fuchs, Dmitry
3
1993
Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector fields on the plane. Zbl 0599.17008
Fuks, D. B.
3
1985
Stable cohomology of the algebra \(W_ n\) and relations of the algebra \(L_ 1\). Zbl 0559.17008
Feigin, B. L.; Fuks, D. B.
3
1984
Casimir operators in modules over the Virasoro algebra. Zbl 0538.17007
Feigin, B. L.; Fuks, D. B.
3
1983
Non-trivialite des classes caractéristiques de g-structures. Applications aux variations des classes caractéristiques de feuilletages. Zbl 0348.57007
Fuchs, Dimitri
3
1977
Non-trivialite des classes caractéristiques de g-structures. Application aux classes caractéristiques de feuilletages. Zbl 0348.57006
Fuchs, Dimitri
3
1977
PL-foliations. Zbl 0294.57016
Gel’fand, I. M.; Fuks, D. B.
3
1974
Cohomology of the Lie algebra of Hamiltonian formal vector fields. Zbl 0259.57023
Gel’fand, I. M.; Kalinin, D. I.; Fuks, D. B.
3
1973
Upper bounds for cohomology of infinite-dimensional Lie algebras. Zbl 0224.18013
Gel’fand, I. M.; Fuks, D. B.
3
1970
Cohomologies of Lie algebra of tangential vector fields. II. Zbl 0208.51401
Gel’fand, I. M.; Fuks, D. B.
3
1970
On duality in homotopy theory. Zbl 0113.17002
Fuks, D. B.
3
1961
Iterating evolutes and involutes. Zbl 1381.51007
Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel
2
2017
Geodesics on regular polyhedra with endpoints at the vertices. Zbl 1432.53058
Fuchs, Dmitry
2
2016
On the cohomology of the Lie superalgebra \(W(m\mid n)\). Zbl 0801.17021
Astashkevich, A. B.; Fuchs, D. B.
2
1993
Two projections of singular vectors of Verma modules over the affine Lie algebra \(A^1_1\). Zbl 0707.17014
Fuks, D. B.
2
1989
Massey operations in the cohomology of the infinite dimensional Lie algebra \(L_1\). Zbl 0653.17010
Feigin, B. L.; Fuks, D. B.; Retakh, V. S.
2
1988
Classical manifolds. Zbl 0671.57001
Fuks, D. B.
2
1986
Stable cohomologies of Lie algebras of formal vector fields with tensor coefficients. Zbl 0552.17009
Fuks, D. B.
2
1983
On cohomologies of the Lie algebra of smooth vector fields. Zbl 0264.17005
Gel’fand, I. M.; Fuks, D. B.
2
1970
Eilenberg-MacLane complexes. Zbl 0168.21001
Fuks, D. B.
2
1966
Über natürliche Transformationen von Funktoren in der Kategorie der topologischen Räume. Zbl 0149.20003
Fuks, D. B.
2
1963
Rational approximations to irrational numbers with bounded partial quotients. Zbl 0080.26502
Vinogradov, A.; Delone, B.; Fuchs, D.
2
1958
On tangent cones of Schubert varieties. Zbl 1427.14103
Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin
1
2017
Cohomology of the Lie algebra \(\mathfrak H_2\): experimental results and conjectures. Zbl 1354.17014
Mohammadzadeh, S.; Fuchs, D. B.
1
2014
Periodic billiard trajectories in regular polygons and closed geodesics on regular polyhedra. Zbl 1296.53085
Fuchs, Dmitry
1
2014
Periodic trajectories in the regular pentagon. II. Zbl 1347.37066
Fuchs, Dmitry; Tabachnikov, Serge
1
2013
Laplacian spectrum for the nilpotent Kac-Moody Lie algebras. Zbl 1255.17011
Fuchs, Dmitry; Wilmarth, Constance
1
2010
On the restricted Lie algebra structure of the Witt Lie algebra in finite characteristic. Zbl 1029.17018
Evans, T. J.; Fuchs, D. B.
1
2002
Northern California symplectic geometry seminar. Zbl 0930.00050
Eliashberg, Ya. (ed.); Fuchs, D. (ed.); Ratiu, T. (ed.); Weinstein, A. (ed.)
1
1999
Homology and cohomology. Zbl 0674.55002
Viro, O. Ya.; Fuks, D. B.
1
1988
Introduction to homotopy theory. Zbl 0674.55001
Viro, O. Ya.; Fuks, D. B.
1
1988
Invariant differential operators on the line. Zbl 0434.58021
Feigin, B. L.; Fuks, D. B.
1
1980
Über invariante Differentialoperatoren auf einer Geraden. Zbl 0425.58024
Feigin, B. L.; Fuks, D. B.
1
1979
Cohomologies of infinite dimensional Lie algebras and Laplace operators. Zbl 0396.17008
Gel’fand, I. M.; Feigin, B. L.; Fuks, D. B.
1
1978
Endlichdimensionale Liealgebren formaler Vektorfelder und charakteristische Klassen homogener Faserungen. Zbl 0336.57016
Fuks, D. B.
1
1976
The work of I. M. Gel’fand on functional analysis, algebra, and topology. Zbl 0294.01031
Gindikin, S. G.; Kirillov, A. A.; Fuks, D. B.
1
1974
Cohomologies of Lie algebras of vector fields on a manifold. Zbl 0194.24601
Gel’fand, I. M.; Fuks, D. B.
1
1969
Some remarks on the duality of functors in a category of abelian groups. Zbl 0201.02402
Fuks, D. B.
1
1967
Cohomologies of Lie groups with real coefficients. Zbl 0169.54801
Gel’fand, I. M.; Fuks, D. B.
1
1967
The spectral sequence of a fibering. Zbl 0169.54701
Fuks, D. B.
1
1966
Eckmann-Hilton duality and the theory of functors in the category of topological spaces. Zbl 0153.53203
Fuks, D. B.
1
1966
Natural mappings of functors in the category of topological spaces. Zbl 0178.26103
Fuks, D. B.
1
1963
Iterating evolutes and involutes. Zbl 1381.51007
Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel
2
2017
On tangent cones of Schubert varieties. Zbl 1427.14103
Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin
1
2017
Homotopical topology. Translated from the Russian. 2nd edition. Zbl 1346.55001
Fomenko, Anatoly; Fuchs, Dmitry
6
2016
Geodesics on regular polyhedra with endpoints at the vertices. Zbl 1432.53058
Fuchs, Dmitry
2
2016
Cohomology of the Lie algebra \(\mathfrak H_2\): experimental results and conjectures. Zbl 1354.17014
Mohammadzadeh, S.; Fuchs, D. B.
1
2014
Periodic billiard trajectories in regular polygons and closed geodesics on regular polyhedra. Zbl 1296.53085
Fuchs, Dmitry
1
2014
Evolutes and involutes of spatial curves. Zbl 1273.53004
Fuchs, Dmitry
3
2013
Periodic trajectories in the regular pentagon. II. Zbl 1347.37066
Fuchs, Dmitry; Tabachnikov, Serge
1
2013
Generating families and Legendrian contact homology in the standard contact space. Zbl 1237.57026
Fuchs, Dmitry; Rutherford, Dan
15
2011
Periodic trajectories in the regular pentagon. Zbl 1276.37033
Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge
4
2011
Laplacian spectrum for the nilpotent Kac-Moody Lie algebras. Zbl 1255.17011
Fuchs, Dmitry; Wilmarth, Constance
1
2010
Self-dual polygons and self-dual curves. Zbl 1180.51012
Fuchs, Dmitry; Tabachnikov, Serge
6
2009
A complex for the cohomology of restricted Lie algebras. Zbl 1178.17018
Evans, Tyler J.; Fuchs, Dmitry
5
2008
Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004
Fuchs, Dmitry; Tabachnikov, Serge
24
2007
Closed geodesics on regular polyhedra. Zbl 1129.53022
Fuchs, Dmitry; Fuchs, Ekaterina
6
2007
Invariants of Legendrian knots and decompositions of front diagrams. Zbl 1073.53106
Fuchs, Dmitry; Ishkhanov, Tigran
16
2004
Chekanov–Eliashberg invariant of Legendrian knots: Existence of augmentations. Zbl 1028.57005
Fuchs, Dmitry
30
2003
On the invariants of Legendrian mirror torus links. Zbl 1044.57007
Epstein, Judith; Fuchs, Dmitry
6
2003
On the restricted Lie algebra structure of the Witt Lie algebra in finite characteristic. Zbl 1029.17018
Evans, T. J.; Fuchs, D. B.
1
2002
Chekanov-Eliashberg invariants and transverse approximations of Legendrian knots. Zbl 1049.57005
Epstein, Judith; Fuchs, Dmitry; Meyer, Maike
23
2001
Massey brackets and deformations. Zbl 1054.17018
Fuchs, Dmitry; Weldon, Lynelle Lang
8
2001
Construction of miniversal deformations of Lie algebras. Zbl 0944.17015
Fialowski, Alice; Fuchs, Dmitry
53
1999
More on paperfolding. Zbl 1037.53501
Fuchs, Dmitry; Tabachnikov, Serge
8
1999
Northern California symplectic geometry seminar. Zbl 0930.00050
Eliashberg, Ya. (ed.); Fuchs, D. (ed.); Ratiu, T. (ed.); Weinstein, A. (ed.)
1
1999
Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006
Fuchs, Dmitry; Tabachnikov, Serge
42
1997
Singular deformations of Lie algebras. Example: Deformations of the Lie algebra \(L_ 1\). Zbl 0883.17023
Fialowski, Alice; Fuchs, Dmitry
4
1997
Asymptotics for singular vectors in Verma modules over the Virasoro algebra. Zbl 0898.17012
Astashkevich, A.; Fuchs, D.
3
1997
Matrix Vieta theorem. Zbl 0837.15011
Fuchs, Dmitry; Schwarz, Albert
3
1995
Singular vectors over the Virasoro algebra and extended Verma modules. Zbl 0827.17028
Fuchs, Dmitry
3
1993
On the cohomology of the Lie superalgebra \(W(m\mid n)\). Zbl 0801.17021
Astashkevich, A. B.; Fuchs, D. B.
2
1993
Representations of the Virasoro algebra. Zbl 0722.17020
Feigin, B. L.; Fuks, D. B.
23
1990
A course in homotopic topology. Textbook. Zbl 0675.55001
Fomenko, A. T.; Fuks, D. B.
35
1989
Two projections of singular vectors of Verma modules over the affine Lie algebra \(A^1_1\). Zbl 0707.17014
Fuks, D. B.
2
1989
Cohomologies of Lie groups and Lie algebras. Zbl 0653.17008
Feĭgin, B. L.; Fuks, D. B.
14
1988
Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras. Zbl 0692.17008
Feigin, B. L.; Fuks, D. B.
12
1988
Cohomologies of Lie groups and Lie algebras. Zbl 0931.17014
Feigin, B. L.; Fuchs, D. B.
12
1988
Massey operations in the cohomology of the infinite dimensional Lie algebra \(L_1\). Zbl 0653.17010
Feigin, B. L.; Fuks, D. B.; Retakh, V. S.
2
1988
Homology and cohomology. Zbl 0674.55002
Viro, O. Ya.; Fuks, D. B.
1
1988
Introduction to homotopy theory. Zbl 0674.55001
Viro, O. Ya.; Fuks, D. B.
1
1988
Cohomology of infinite-dimensional Lie algebras. Transl. from the Russian by A. B. Sosinskiĭ. Zbl 0667.17005
Fuks, D. B.
142
1986
Singular vectors in Verma modules over Kac-Moody algebras. Zbl 0616.17010
Malikov, F. G.; Feigin, B. L.; Fuks, D. B.
26
1986
Homotopic topology. (Transl. from the Russian by K. Mályusz). Zbl 0615.55001
Fomenko, A. T.; Fuks, D. B.; Gutenmacher, V. L.
15
1986
Classical manifolds. Zbl 0671.57001
Fuks, D. B.
2
1986
Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector fields on the plane. Zbl 0599.17008
Fuks, D. B.
3
1985
Cohomology of infinite dimensional Lie algebras. Zbl 0592.17011
Fuks, D. B.
40
1984
Verma modules over the Virasoro algebra. Zbl 0549.17010
Feigin, B. L.; Fuks, D. B.
31
1984
Beginner’s course in topology. Geometric chapters. Transl. from the Russian by A. Iacob. Zbl 0562.54003
Fuks, D. B.; Rokhlin, V. A.
25
1984
Cohomology of Lie superalgebras. Zbl 0586.17005
Fuks, D. B.; Leites, D. A.
23
1984
Representations of the Virasoro algebra. Zbl 0642.17007
Feigin, B. L.; Fuks, D. B.
19
1984
Stable cohomology of the algebra \(W_ n\) and relations of the algebra \(L_ 1\). Zbl 0559.17008
Feigin, B. L.; Fuks, D. B.
3
1984
Verma modules over the Virasoro algebra. Zbl 0529.17010
Feigin, B. L.; Fuks, D. B.
29
1983
Verma modules over the Virasoro algebra. Zbl 0526.17010
Feigin, B. L.; Fuks, D. B.
27
1983
Casimir operators in modules over the Virasoro algebra. Zbl 0538.17007
Feigin, B. L.; Fuks, D. B.
3
1983
Stable cohomologies of Lie algebras of formal vector fields with tensor coefficients. Zbl 0552.17009
Fuks, D. B.
2
1983
Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra. Zbl 0505.58031
Feĭgin, B. L.; Fuks, D. B.
80
1982
Homology of the Lie algebra of vector fields on the line. Zbl 0487.57011
Feĭgin, B. L.; Fuks, D. B.
27
1981
Cohomologies of a Lie algebra of vector fields on the straight line. Zbl 0482.57010
Feĭgin, B. L.; Fuks, D. B.
6
1980
Invariant differential operators on the line. Zbl 0434.58021
Feigin, B. L.; Fuks, D. B.
1
1980
Über invariante Differentialoperatoren auf einer Geraden. Zbl 0425.58024
Feigin, B. L.; Fuks, D. B.
1
1979
Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations. Zbl 0499.57001
Fuks, D. B.
10
1978
Cohomologies of infinite dimensional Lie algebras and Laplace operators. Zbl 0396.17008
Gel’fand, I. M.; Feigin, B. L.; Fuks, D. B.
1
1978
Elementary course of topology. Geometrical chapters. (Nachal’nyj kurs topologii. Geometricheskie glavy). Zbl 0417.55002
Rokhlin, V. A.; Fuks, D. B.
18
1977
Non-trivialite des classes caractéristiques de g-structures. Applications aux variations des classes caractéristiques de feuilletages. Zbl 0348.57007
Fuchs, Dimitri
3
1977
Non-trivialite des classes caractéristiques de g-structures. Application aux classes caractéristiques de feuilletages. Zbl 0348.57006
Fuchs, Dimitri
3
1977
The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations. Zbl 0347.57009
Fuchs, D. B.; Gabrielov, A. M.; Gel’fand, I. M.
9
1976
Endlichdimensionale Liealgebren formaler Vektorfelder und charakteristische Klassen homogener Faserungen. Zbl 0336.57016
Fuks, D. B.
1
1976
Quillenization and bordisms. Zbl 0324.57024
Fuks, D. B.
11
1974
Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations. Zbl 0298.57011
Gel’fand, I. M.; Feigin, B. L.; Fuks, D. B.
4
1974
PL-foliations. Zbl 0294.57016
Gel’fand, I. M.; Fuks, D. B.
3
1974
The work of I. M. Gel’fand on functional analysis, algebra, and topology. Zbl 0294.01031
Gindikin, S. G.; Kirillov, A. A.; Fuks, D. B.
1
1974
Characteristic classes of foliations. Zbl 0274.57005
Fuks, D. B.
4
1973
Cohomology of the Lie algebra of Hamiltonian formal vector fields. Zbl 0259.57023
Gel’fand, I. M.; Kalinin, D. I.; Fuks, D. B.
3
1973
The actions of infinite-dimensional Lie algebras. Zbl 0267.18023
Gel’fand, I. M.; Kazhdan, D. A.; Fuks, D. B.
4
1972
Cohomology of the Lie algebra of formal vector fields. Zbl 0216.20302
Gel’fand, I. M.; Fuks, D. B.
16
1971
Cohomologies of the group COS mod 2. Zbl 0222.57031
Fuks, D. B.
22
1970
Cohomologies of Lie algebra of vector fields with nontrivial coefficients. Zbl 0222.58001
Gel’fand, I. M.; Fuks, D. B.
5
1970
Upper bounds for cohomology of infinite-dimensional Lie algebras. Zbl 0224.18013
Gel’fand, I. M.; Fuks, D. B.
3
1970
Cohomologies of Lie algebra of tangential vector fields. II. Zbl 0208.51401
Gel’fand, I. M.; Fuks, D. B.
3
1970
On cohomologies of the Lie algebra of smooth vector fields. Zbl 0264.17005
Gel’fand, I. M.; Fuks, D. B.
2
1970
Cohomologies of the Lie algebra of tangential vector fields of a smooth manifold. Zbl 0216.20301
Gel’fand, I. M.; Fuks, D. B.
10
1969
Cohomologies of Lie algebras of vector fields on a manifold. Zbl 0194.24601
Gel’fand, I. M.; Fuks, D. B.
1
1969
The cohomologies of the Lie algebra of the vector fields in a circle. Zbl 0176.11501
Gel’fand, I. M.; Fuks, D. B.
43
1968
Maslov-Arnol’d characteristic classes. Zbl 0175.20304
Fuks, D. B.
13
1968
Some remarks on the duality of functors in a category of abelian groups. Zbl 0201.02402
Fuks, D. B.
1
1967
Cohomologies of Lie groups with real coefficients. Zbl 0169.54801
Gel’fand, I. M.; Fuks, D. B.
1
1967
Eilenberg-MacLane complexes. Zbl 0168.21001
Fuks, D. B.
2
1966
The spectral sequence of a fibering. Zbl 0169.54701
Fuks, D. B.
1
1966
Eckmann-Hilton duality and the theory of functors in the category of topological spaces. Zbl 0153.53203
Fuks, D. B.
1
1966
Über natürliche Transformationen von Funktoren in der Kategorie der topologischen Räume. Zbl 0149.20003
Fuks, D. B.
2
1963
Natural mappings of functors in the category of topological spaces. Zbl 0178.26103
Fuks, D. B.
1
1963
On the homotopy theory of functors in the category of topological spaces. Zbl 0126.18504
Fuks, D. B.; Shvarts, A. S.
27
1962
On duality in homotopy theory. Zbl 0113.17002
Fuks, D. B.
3
1961
Rational approximations to irrational numbers with bounded partial quotients. Zbl 0080.26502
Vinogradov, A.; Delone, B.; Fuchs, D.
2
1958
all top 5

Cited by 1,028 Authors

28 Fialowski, Alice
15 Fuchs, Dmitry Borisovich
13 Feĭgin, Boris L’vovich
13 Ridout, David
11 Tabachnikov, Serge L.
10 Penkava, Michael
10 Sabloff, Joshua M.
9 Bouarroudj, Sofiane
9 Bytsenko, Andrei A.
9 Ng, Lenhard L.
9 Omri, Salem
9 Ovsienko, Valentin Yu.
9 Zhao, Kaiming
8 Ben Ammar, Mabrouk
8 Etnyre, John B.
8 Rutherford, Dan
8 Yur’ev, Denis Valer’evich
7 Ben Fraj, Nizar
7 Gel’fand, Israil’ Moiseevich
7 Sardanashvily, Gennadi A.
6 Agrebaoui, Boujemaa
6 Basdouri, Imed
6 Conley, Charles H.
6 Flohr, Michael A. I.
6 Iohara, Kenji
6 Mathieu, Pierre
6 McCoy, Barry M.
6 Millionshchikov, Dmitriĭ Vladimirovich
6 Navarro, Rosa María
6 Wagemann, Friedrich
5 Chaichian, Masud
5 Khakimdjanov, Yusupdjan Bakimdjanovich
5 Khalfoun, Hafedh
5 Khesin, Boris A.
5 Kirillov, Alexandre Aleksandrovich
5 Koga, Yoshiyuki
5 Kruglikov, Boris S.
5 Lü, Rencai
5 Mandal, Ashis
5 Ponsot, Bénédicte
5 Roger, Claude
5 Schlichenmaier, Martin
5 Sullivan, Michael G.
5 Watts, Gerard M. T.
5 Yanushauskas, Algimantas I.
4 Abdaoui, Meher
4 Billig, Yuly
4 Callegaro, Filippo
4 Dimitroglou Rizell, Georgios
4 Dobrev, Vladimir K.
4 Dzhumadil’daev, Askar Serkulovich
4 Felder, Giovanni
4 Fraj, N. Ben
4 Gómez, José R.
4 Kac, Victor G.
4 Kálmán, Tamás
4 Laraiedh, Ismail
4 Leites, Dimitry A.
4 Losik, Mark V.
4 Lukyanov, Sergei L.
4 Makhlouf, Abdenacer
4 Martin, Christiane
4 Morozov, Oleg I.
4 Neretin, Yuriĭ Aleksandrovich
4 Pei, Yufeng
4 Pestov, Vladimir G.
4 Polulyakh, Yevgen
4 Rangipour, Bahram
4 Semikhatov, Alexei M.
4 Sharapov, Alexey A.
4 Vértesi, Vera
3 Akopyan, Arseniy V.
3 Arnal, Didier
3 Babenko, Ivan K.
3 Barnich, Glenn
3 Berkovich, Alexander
3 Blagojević, Pavle V. M.
3 Casals, Roger
3 Cohen, Frederick Ronald
3 Ding, Fan
3 Evans, Tyler J.
3 Frenkel, Edward V.
3 Geiges, Hansjörg
3 Gruson, Caroline
3 Henry, Michael B.
3 Jiang, Wei
3 Kaliman, Shulim I.
3 Kanade, Shashank
3 Kanie, Yukihiro
3 Kapranov, Mikhail M.
3 Lian, Bong H.
3 Lyakhovich, Simon L.
3 Mansour, Sabeur
3 Milas, Antun
3 Mironov, Andrei D.
3 Morozov, Alexei Yurievich
3 Mukherjee, Goutam
3 Neeb, Karl-Hermann
3 Niglio, Louis
3 Omirov, Bakhrom A.
...and 928 more Authors
all top 5

Cited in 188 Serials

45 Communications in Mathematical Physics
45 Functional Analysis and its Applications
43 Journal of Algebra
38 Journal of Mathematical Physics
37 Journal of Geometry and Physics
35 Nuclear Physics. B
26 Journal of High Energy Physics
22 Letters in Mathematical Physics
22 Advances in Mathematics
22 Siberian Mathematical Journal
20 Annales de l’Institut Fourier
20 Algebraic & Geometric Topology
16 Theoretical and Mathematical Physics
15 Communications in Algebra
15 Mathematical Notes
15 Proceedings of the American Mathematical Society
15 Topology and its Applications
15 Journal of Mathematical Sciences (New York)
14 Transactions of the American Mathematical Society
13 Journal of Knot Theory and its Ramifications
13 International Journal of Geometric Methods in Modern Physics
12 Ukrainian Mathematical Journal
12 Geometry & Topology
11 International Journal of Modern Physics A
11 Journal of Soviet Mathematics
11 Journal of Nonlinear Mathematical Physics
10 Journal of Pure and Applied Algebra
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Physics Letters. B
8 Communications in Contemporary Mathematics
7 Compositio Mathematica
7 Duke Mathematical Journal
7 Geometriae Dedicata
7 Proceedings of the Steklov Institute of Mathematics
6 The Mathematical Intelligencer
6 Proceedings of the Japan Academy. Series A
5 Journal of Statistical Physics
5 Journal of Functional Analysis
5 Mathematische Zeitschrift
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Journal of the European Mathematical Society (JEMS)
5 Journal of Algebra and its Applications
5 Journal of Statistical Mechanics: Theory and Experiment
4 International Journal of Theoretical Physics
4 Mathematische Annalen
4 Discrete & Computational Geometry
4 Linear Algebra and its Applications
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Selecta Mathematica. New Series
4 Science China. Mathematics
4 Arnold Mathematical Journal
3 Discrete Mathematics
3 Physics Letters. A
3 Reports on Mathematical Physics
3 Russian Mathematical Surveys
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Inventiones Mathematicae
3 Journal für die Reine und Angewandte Mathematik
3 Monatshefte für Mathematik
3 Tohoku Mathematical Journal. Second Series
3 Acta Mathematica Hungarica
3 Acta Applicandae Mathematicae
3 International Journal of Mathematics
3 Differential Geometry and its Applications
3 Russian Mathematics
3 Russian Journal of Mathematical Physics
3 Sbornik: Mathematics
3 Transformation Groups
3 Doklady Mathematics
3 Algebras and Representation Theory
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Bulletin of the American Mathematical Society
3 Proceedings of the Japan Academy
3 Quantum Topology
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Lithuanian Mathematical Journal
2 Moscow University Mathematics Bulletin
2 Physics Reports
2 Arkiv för Matematik
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Advances in Applied Mathematics
2 Annals of Global Analysis and Geometry
2 Journal of Complexity
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Georgian Mathematical Journal
2 Journal of Lie Theory
2 Bulletin des Sciences Mathématiques
2 Acta Mathematica Sinica. English Series
2 Journal of the Institute of Mathematics of Jussieu
2 Journal of Noncommutative Geometry
2 Journal of Homotopy and Related Structures
2 Journal of Topology
2 Journal of Topology and Analysis
2 Japanese Journal of Mathematics. 3rd Series
...and 88 more Serials
all top 5

Cited in 57 Fields

398 Nonassociative rings and algebras (17-XX)
207 Quantum theory (81-XX)
194 Manifolds and cell complexes (57-XX)
169 Differential geometry (53-XX)
120 Global analysis, analysis on manifolds (58-XX)
66 Algebraic geometry (14-XX)
59 Dynamical systems and ergodic theory (37-XX)
58 Algebraic topology (55-XX)
56 Topological groups, Lie groups (22-XX)
37 Associative rings and algebras (16-XX)
34 Group theory and generalizations (20-XX)
29 Convex and discrete geometry (52-XX)
27 Several complex variables and analytic spaces (32-XX)
27 Functional analysis (46-XX)
27 Geometry (51-XX)
27 Relativity and gravitational theory (83-XX)
26 Partial differential equations (35-XX)
23 Statistical mechanics, structure of matter (82-XX)
22 Combinatorics (05-XX)
22 Category theory; homological algebra (18-XX)
16 Number theory (11-XX)
16 Commutative algebra (13-XX)
16 Ordinary differential equations (34-XX)
16 General topology (54-XX)
15 Operator theory (47-XX)
15 Mechanics of particles and systems (70-XX)
12 Functions of a complex variable (30-XX)
9 Special functions (33-XX)
9 Probability theory and stochastic processes (60-XX)
8 \(K\)-theory (19-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 General and overarching topics; collections (00-XX)
5 Fluid mechanics (76-XX)
4 History and biography (01-XX)
4 Computer science (68-XX)
4 Information and communication theory, circuits (94-XX)
3 Real functions (26-XX)
3 Potential theory (31-XX)
3 Difference and functional equations (39-XX)
3 Abstract harmonic analysis (43-XX)
3 Mechanics of deformable solids (74-XX)
2 Field theory and polynomials (12-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Numerical analysis (65-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

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