Edit Profile (opens in new tab) Fuchs, Dmitry Borisovich Co-Author Distance Author ID: fuchs.dmitry-b Published as: Fuks, D. B.; Fuchs, Dmitry; Fuchs, D. B.; Fuchs, Dimitri; Fuchs, Dmitry B.; Fuchs, D. more...less Further Spellings: Fuks, Dmitriĭ Borisovich External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 124 Publications since 1958, including 12 Books and 2 Additional arXiv Preprints 4 Contributions as Editor · 2 Further Contributions Biographic References: 3 Publications Co-Authors: 93 Co-Authors with 89 Joint Publications 3,390 Co-Co-Authors all top 5 Co-Authors 34 single-authored 21 Gel’fand, Israil’ Moiseevich 20 Feĭgin, Boris L’vovich 14 Tabachnikov, Serge L. 5 Novikov, Sergeĭ Petrovich 5 Schwarz, Albert S. 4 Fomenko, Anatoliĭ Timofeevich 4 Vasil’ev, Viktor Anatol’evich 4 Viro, Oleg Ya. 3 Arnold, Maxim 3 Fialowski, Alice 3 Il’yashenko, Yuliĭ Sergeevich 3 Izmestiev, Ivan 3 Kirillov, Alexandre Aleksandrovich 3 Lando, Sergei K. 3 Rokhlin, Vladimir Abramovich 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 Gindikin, Simon Grigorevich 2 Kolmogorov, Andreĭ Nikolaevich 2 Krichever, Igor’ Moiseevich 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 Wilmarth, Constance 1 Aptekarev, Alexander Ivanovich 1 Astashkevich, A. B. 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Bocharov, Alexei V. 1 Chernavskiĭ, Alekseĭ Viktorovich 1 Chetverikov, Vladimir N. 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Davis, Diana 1 Delone, Boris Nikolaevich 1 Eliashberg, Yakov Matveevich 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 Khelemskiĭ, Aleksandr Yakovlevich 1 Hofer, Helmut H. W. 1 Ishkhanov, Tigran 1 Kac, Victor 1 Kalinin, D. I. 1 Karpenkov, Oleg Nikolaevich 1 Kashin, Boris Sergeevich 1 Kazhdan, David 1 Kesel’man, V. M. 1 Khesin, Boris A. 1 Khor’kova, Nina Grigor’evna 1 Khovanskiĭ, Askold Georgievich 1 Kirillov, Alexandre Sr. 1 Kontsevich, Maxim 1 Kosmann-Schwarzbach, Yvette 1 Kozlov, Valeriĭ Vasil’evich 1 Krasil’shchik, Iosif Semënovich 1 Krishchenko, Alexander P. 1 Kruzhilin, Nikolai Georgievich 1 Lychagin, Valentin V. 1 Malikov, Fyodor 1 Manin, Yuriĭ Ivanovich 1 Margulis, Grigoriĭ Aleksandrovich 1 Marvan, Michal 1 Maslov, Viktor Pavlovich 1 Meyer, Maike 1 Mishchenko, Aleksandr Sergeevich 1 Morier-Genoud, Sophie 1 Nemirovskiĭ, Stefan Yur’evich 1 Ovsienko, Valentin Yu. 1 Raffaelli, Matteo 1 Ratiu, Tudor Stefan 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 Stasheff, James D. 1 Suetin, Sergeĭ Pavlovich 1 Szewieczek, Gudrun 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, Aleksandr Mikhaĭlovich 1 Vinogradov, Michael M. 1 Vitagliano, Luca 1 Vitolo, Raffaele F. 1 Voronov, Theodore 1 Weinstein, Alan David 1 Weldon, Lynelle Lang all top 5 Serials 25 Functional Analysis and its Applications 9 Soviet Mathematics. Doklady 8 Russian Mathematical Surveys 6 Moscow Mathematical Journal 5 Funktsional’nyĭ Analiz i ego Prilozheniya 5 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Arnold Mathematical Journal 3 Doklady Akademii Nauk SSSR 3 Journal of Soviet Mathematics 3 Pacific Journal of Mathematics 2 American Mathematical Monthly 2 Journal of Geometry and Physics 2 Geometriae Dedicata 2 Mathematics of the USSR. Izvestiya 2 Topology 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Annales de l’Institut Fourier 1 Journal of Functional Analysis 1 Journal of Pure and Applied Algebra 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Discrete & Computational Geometry 1 IMRN. International Mathematics Research Notices 1 Doklady Bolgarskoĭ Akademii Nauk 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Notices of the American Mathematical Society 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Advances in Soviet Mathematics 1 Graduate Texts in Mathematics 1 Translations. Series 2. American Mathematical Society 1 Functional Analysis and Other Mathematics 1 Journal of Fixed Point Theory and Applications 1 Journal of Topology 1 Universitext 1 Translations. Series 2. American Mathematical Society 1 Association for Mathematical Research Monographs all top 5 Fields 52 Nonassociative rings and algebras (17-XX) 45 Manifolds and cell complexes (57-XX) 24 Algebraic topology (55-XX) 20 Differential geometry (53-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 History and biography (01-XX) 6 Topological groups, Lie groups (22-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Convex and discrete geometry (52-XX) 4 Geometry (51-XX) 3 General topology (54-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Quantum theory (81-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 1,595 times in 1,299 Documents Cited by ▼ Year ▼ Cohomology of infinite-dimensional Lie algebras. Transl. from the Russian by A. B. Sosinskiĭ. Zbl 0667.17005 Fuks, D. B. 267 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. 98 1982 Construction of miniversal deformations of Lie algebras. Zbl 0944.17015 Fialowski, Alice; Fuchs, Dmitry 61 1999 Representations of the Virasoro algebra. Zbl 0722.17020 Feigin, B. L.; Fuks, D. B. 55 1990 The cohomologies of the Lie algebra of the vector fields in a circle. Zbl 0176.11501 Gel’fand, I. M.; Fuks, D. B. 55 1968 Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006 Fuchs, Dmitry; Tabachnikov, Serge 49 1997 A course in homotopic topology. Textbook. (Курс гомотопическоĭ топологии. Учебное пособие.) Zbl 0675.55001 Fomenko, A. T.; Fuks, D. B. 48 1989 Verma modules over the Virasoro algebra. Zbl 0549.17010 Feigin, B. L.; Fuks, D. B. 48 1984 Verma modules over the Virasoro algebra. Zbl 0529.17010 Feigin, B. L.; Fuks, D. B. 47 1983 Cohomology of infinite dimensional Lie algebras. (Когомологии бесконечномерных алгебр Ли.) Zbl 0592.17011 Fuks, D. B. 45 1984 Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004 Fuchs, Dmitry; Tabachnikov, Serge 44 2007 Chekanov–Eliashberg invariant of Legendrian knots: Existence of augmentations. Zbl 1028.57005 Fuchs, Dmitry 37 2003 Singular vectors in Verma modules over Kac-Moody algebras. Zbl 0616.17010 Malikov, F. G.; Feigin, B. L.; Fuks, D. B. 36 1986 Cohomologies of the group COS mod 2. Zbl 0222.57031 Fuks, D. B. 33 1970 Homology of the Lie algebra of vector fields on the line. Zbl 0487.57011 Feĭgin, B. L.; Fuks, D. B. 33 1981 Verma modules over the Virasoro algebra. Zbl 0526.17010 Feigin, B. L.; Fuks, D. B. 30 1983 Beginner’s course in topology. Geometric chapters. Transl. from the Russian by A. Iacob. Zbl 0562.54003 Fuks, D. B.; Rokhlin, V. A. 29 1984 Chekanov-Eliashberg invariants and transverse approximations of Legendrian knots. Zbl 1049.57005 Epstein, Judith; Fuchs, Dmitry; Meyer, Maike 26 2001 Cohomology of Lie superalgebras. Zbl 0586.17005 Fuks, D. B.; Leites, D. A. 25 1984 On the homotopy theory of functors in the category of topological spaces. Zbl 0126.18504 Fuks, D. B.; Shvarts, A. S. 25 1962 Homotopical topology. Translated from the Russian. 2nd edition. Zbl 1346.55001 Fomenko, Anatoly; Fuchs, Dmitry 24 2016 Elementary course of topology. Geometrical chapters. (Nachal’nyj kurs topologii. Geometricheskie glavy). Zbl 0417.55002 Rokhlin, V. A.; Fuks, D. B. 24 1977 Homotopic topology. (Transl. from the Russian by K. Mályusz). Zbl 0615.55001 Fomenko, A. T.; Fuks, D. B.; Gutenmacher, V. L. 22 1986 Cohomology of the Lie algebra of formal vector fields. Zbl 0216.20302 Gel’fand, I. M.; Fuks, D. B. 21 1971 Generating families and Legendrian contact homology in the standard contact space. Zbl 1237.57026 Fuchs, Dmitry; Rutherford, Dan 20 2011 Invariants of Legendrian knots and decompositions of front diagrams. Zbl 1073.53106 Fuchs, Dmitry; Ishkhanov, Tigran 19 2004 Cohomologies of the Lie algebra of tangential vector fields of a smooth manifold. Zbl 0216.20301 Gel’fand, I. M.; Fuks, D. B. 18 1969 Cohomologies of Lie groups and Lie algebras. Zbl 0653.17008 Feĭgin, B. L.; Fuks, D. B. 17 1988 Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras. Zbl 0692.17008 Feigin, B. L.; Fuks, D. B. 17 1988 Cohomologies of Lie groups and Lie algebras. Zbl 0931.17014 Feigin, B. L.; Fuchs, D. B. 15 1988 Quillenization and bordisms. Zbl 0324.57024 Fuks, D. B. 15 1974 Maslov-Arnol’d characteristic classes. Zbl 0175.20304 Fuks, D. B. 15 1968 Closed geodesics on regular polyhedra. Zbl 1129.53022 Fuchs, Dmitry; Fuchs, Ekaterina 13 2007 Representations of the Virasoro algebra. Zbl 0642.17007 Feigin, B. L.; Fuks, D. B. 12 1984 Evolutes and involutes of spatial curves. Zbl 1273.53004 Fuchs, Dmitry 12 2013 More on paperfolding. Zbl 1037.53501 Fuchs, Dmitry; Tabachnikov, Serge 11 1999 A complex for the cohomology of restricted Lie algebras. Zbl 1178.17018 Evans, Tyler J.; Fuchs, Dmitry 11 2008 Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations. Zbl 0499.57001 Fuks, D. B. 11 1978 Cohomologies of a Lie algebra of vector fields on the straight line. Zbl 0482.57010 Feĭgin, B. L.; Fuks, D. B. 10 1980 Massey brackets and deformations. Zbl 1054.17018 Fuchs, Dmitry; Weldon, Lynelle Lang 9 2001 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 Self-dual polygons and self-dual curves. Zbl 1180.51012 Fuchs, Dmitry; Tabachnikov, Serge 9 2009 Periodic trajectories in the regular pentagon. Zbl 1276.37033 Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge 8 2011 Singular deformations of Lie algebras. Example: Deformations of the Lie algebra \(L_ 1\). Zbl 0883.17023 Fialowski, Alice; Fuchs, Dmitry 7 1997 Characteristic classes of foliations. Zbl 0274.57005 Fuks, D. B. 7 1973 PL-foliations. Zbl 0294.57016 Gel’fand, I. M.; Fuks, D. B. 7 1974 Geodesics on regular polyhedra with endpoints at the vertices. Zbl 1432.53058 Fuchs, Dmitry 7 2016 Cross-ratio dynamics on ideal polygons. Zbl 1490.51014 Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge 6 2022 Matrix Vieta theorem. Zbl 0837.15011 Fuchs, Dmitry; Schwarz, Albert 6 1995 On the invariants of Legendrian mirror torus links. Zbl 1044.57007 Epstein, Judith; Fuchs, Dmitry 6 2003 The actions of infinite-dimensional Lie algebras. Zbl 0267.18023 Gel’fand, I. M.; Kazhdan, D. A.; Fuks, D. B. 6 1972 Cohomologies of Lie algebra of tangential vector fields. II. Zbl 0208.51401 Gel’fand, I. M.; Fuks, D. B. 6 1970 Cohomologies of Lie algebra of vector fields with nontrivial coefficients. Zbl 0222.58001 Gel’fand, I. M.; Fuks, D. B. 6 1970 Iterating evolutes and involutes. Zbl 1381.51007 Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel 6 2017 Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector fields on the plane. Zbl 0599.17008 Fuks, D. B. 5 1985 Cohomology of the Lie algebra of Hamiltonian formal vector fields. Zbl 0259.57023 Gel’fand, I. M.; Kalinin, D. I.; Fuks, D. B. 5 1973 Periodic billiard trajectories in regular polygons and closed geodesics on regular polyhedra. Zbl 1296.53085 Fuchs, Dmitry 5 2014 On the cohomology of the Lie superalgebra \(W(m\mid n)\). Zbl 0801.17021 Astashkevich, A. B.; Fuchs, D. B. 4 1993 Northern California symplectic geometry seminar. Zbl 0930.00050 4 1999 On cohomologies of the Lie algebra of smooth vector fields. Zbl 0264.17005 Gel’fand, I. M.; Fuks, D. B. 4 1970 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 Premier cours de topologie. Chapitres geométriques. Traduit du russe par A. Sossinski. Zbl 0453.55001 Rokhlin, V. A.; Fuks, D. B. 4 1981 Singular vectors over the Virasoro algebra and extended Verma modules. Zbl 0827.17028 Fuchs, Dmitry 3 1993 Asymptotics for singular vectors in Verma modules over the Virasoro algebra. Zbl 0898.17012 Astashkevich, A.; Fuchs, D. 3 1997 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. 3 1988 Casimir operators in modules over the Virasoro algebra. Zbl 0538.17007 Feigin, B. L.; Fuks, D. B. 3 1983 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 Non-trivialite des classes caractéristiques de g-structures. Application aux classes caractéristiques de feuilletages. Zbl 0348.57006 Fuchs, Dimitri 3 1977 Non-trivialite des classes caractéristiques de g-structures. Applications aux variations des classes caractéristiques de feuilletages. Zbl 0348.57007 Fuchs, Dimitri 3 1977 Upper bounds for cohomology of infinite-dimensional Lie algebras. Zbl 0224.18013 Gel’fand, I. M.; Fuks, D. B. 3 1970 Rational approximations to irrational numbers with bounded partial quotients. Zbl 0080.26502 Vinogradov, A.; Delone, B.; Fuchs, D. 3 1958 On duality in homotopy theory. Zbl 0113.17002 Fuks, D. B. 3 1961 Invariant differential operators on the line. Zbl 0434.58021 Feigin, B. L.; Fuks, D. B. 3 1980 Classical manifolds. Zbl 0671.57001 Fuks, D. B. 2 1986 Homology and cohomology. Zbl 0674.55002 Viro, O. Ya.; Fuks, D. B. 2 1988 Stable cohomologies of Lie algebras of formal vector fields with tensor coefficients. Zbl 0552.17009 Fuks, D. B. 2 1983 On the restricted Lie algebra structure of the Witt Lie algebra in finite characteristic. Zbl 1029.17018 Evans, T. J.; Fuchs, D. B. 2 2002 Two projections of singular vectors of Verma modules over the affine Lie algebra \(A^1_1\). Zbl 0707.17014 Fuks, D. B. 2 1989 Über natürliche Transformationen von Funktoren in der Kategorie der topologischen Räume. Zbl 0149.20003 Fuks, D. B. 2 1963 Eilenberg-MacLane complexes. Zbl 0168.21001 Fuks, D. B. 2 1966 Über invariante Differentialoperatoren auf einer Geraden. Zbl 0425.58024 Feigin, B. L.; Fuks, D. B. 2 1979 Introduction to homotopy theory. Zbl 0674.55001 Viro, O. Ya.; Fuks, D. B. 1 1988 On tangent cones of Schubert varieties. Zbl 1427.14103 Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin 1 2017 Periodic trajectories in the regular pentagon. II. Zbl 1347.37066 Fuchs, Dmitry; Tabachnikov, Serge 1 2013 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 Iterating evolutes of spacial polygons and of spacial curves. Zbl 1422.53005 Fuchs, Dmitry; Tabachnikov, Serge 1 2017 Cohomology of the Lie algebra \(\mathfrak H_2\): experimental results and conjectures. Zbl 1354.17014 Mohammadzadeh, S.; Fuchs, D. B. 1 2014 Über Zyklen, die Homologieklassen der Liealgebra formaler Vektorfelder darstellen. Zbl 0216.20401 Gel’fand, I. M.; Fuks, D. B. 1 1970 Homotopische Topologie. Zbl 0189.54001 Fuks, D. B.; Fomenko, A. T.; Gutenmaher, V. L. 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 algebras of vector fields on a manifold. Zbl 0194.24601 Gel’fand, I. M.; Fuks, D. B. 1 1969 Eckmann-Hilton duality and the theory of functors in the category of topological spaces. Zbl 0153.53203 Fuks, D. B. 1 1966 The spectral sequence of a fibering. Zbl 0169.54701 Fuks, D. B. 1 1966 Topology of noncompact Lie groups. Zbl 0169.54702 Gel’fand, I. M.; Fuks, D. B. 1 1967 Cohomologies of Lie groups with real coefficients. Zbl 0169.54801 Gel’fand, I. M.; Fuks, D. B. 1 1967 Natural mappings of functors in the category of topological spaces. Zbl 0178.26103 Fuks, D. B. 1 1963 Laplacian spectrum for the nilpotent Kac-Moody Lie algebras. Zbl 1255.17011 Fuchs, Dmitry; Wilmarth, Constance 1 2010 Cohomologies of infinite dimensional Lie algebras and Laplace operators. Zbl 0396.17008 Gel’fand, I. M.; Feigin, B. L.; Fuks, D. B. 1 1978 Cross-ratio dynamics on ideal polygons. Zbl 1490.51014 Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge 6 2022 Iterating evolutes and involutes. Zbl 1381.51007 Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge; Tsukerman, Emmanuel 6 2017 On tangent cones of Schubert varieties. Zbl 1427.14103 Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin 1 2017 Iterating evolutes of spacial polygons and of spacial curves. Zbl 1422.53005 Fuchs, Dmitry; Tabachnikov, Serge 1 2017 Homotopical topology. Translated from the Russian. 2nd edition. Zbl 1346.55001 Fomenko, Anatoly; Fuchs, Dmitry 24 2016 Geodesics on regular polyhedra with endpoints at the vertices. Zbl 1432.53058 Fuchs, Dmitry 7 2016 Periodic billiard trajectories in regular polygons and closed geodesics on regular polyhedra. Zbl 1296.53085 Fuchs, Dmitry 5 2014 Cohomology of the Lie algebra \(\mathfrak H_2\): experimental results and conjectures. Zbl 1354.17014 Mohammadzadeh, S.; Fuchs, D. B. 1 2014 Evolutes and involutes of spatial curves. Zbl 1273.53004 Fuchs, Dmitry 12 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 20 2011 Periodic trajectories in the regular pentagon. Zbl 1276.37033 Davis, Diana; Fuchs, Dmitry; Tabachnikov, Serge 8 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 9 2009 A complex for the cohomology of restricted Lie algebras. Zbl 1178.17018 Evans, Tyler J.; Fuchs, Dmitry 11 2008 Mathematical omnibus. Thirty lectures on classic mathematics. Zbl 1318.00004 Fuchs, Dmitry; Tabachnikov, Serge 44 2007 Closed geodesics on regular polyhedra. Zbl 1129.53022 Fuchs, Dmitry; Fuchs, Ekaterina 13 2007 Invariants of Legendrian knots and decompositions of front diagrams. Zbl 1073.53106 Fuchs, Dmitry; Ishkhanov, Tigran 19 2004 Chekanov–Eliashberg invariant of Legendrian knots: Existence of augmentations. Zbl 1028.57005 Fuchs, Dmitry 37 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. 2 2002 Chekanov-Eliashberg invariants and transverse approximations of Legendrian knots. Zbl 1049.57005 Epstein, Judith; Fuchs, Dmitry; Meyer, Maike 26 2001 Massey brackets and deformations. Zbl 1054.17018 Fuchs, Dmitry; Weldon, Lynelle Lang 9 2001 Construction of miniversal deformations of Lie algebras. Zbl 0944.17015 Fialowski, Alice; Fuchs, Dmitry 61 1999 More on paperfolding. Zbl 1037.53501 Fuchs, Dmitry; Tabachnikov, Serge 11 1999 Northern California symplectic geometry seminar. Zbl 0930.00050 4 1999 Invariants of Legendrian and transverse knots in the standard contact space. Zbl 0904.57006 Fuchs, Dmitry; Tabachnikov, Serge 49 1997 Singular deformations of Lie algebras. Example: Deformations of the Lie algebra \(L_ 1\). Zbl 0883.17023 Fialowski, Alice; Fuchs, Dmitry 7 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 6 1995 On the cohomology of the Lie superalgebra \(W(m\mid n)\). Zbl 0801.17021 Astashkevich, A. B.; Fuchs, D. B. 4 1993 Singular vectors over the Virasoro algebra and extended Verma modules. Zbl 0827.17028 Fuchs, Dmitry 3 1993 Representations of the Virasoro algebra. Zbl 0722.17020 Feigin, B. L.; Fuks, D. B. 55 1990 A course in homotopic topology. Textbook. (Курс гомотопическоĭ топологии. Учебное пособие.) Zbl 0675.55001 Fomenko, A. T.; Fuks, D. B. 48 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. 17 1988 Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras. Zbl 0692.17008 Feigin, B. L.; Fuks, D. B. 17 1988 Cohomologies of Lie groups and Lie algebras. Zbl 0931.17014 Feigin, B. L.; Fuchs, D. B. 15 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. 3 1988 Homology and cohomology. Zbl 0674.55002 Viro, O. Ya.; Fuks, D. B. 2 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. 267 1986 Singular vectors in Verma modules over Kac-Moody algebras. Zbl 0616.17010 Malikov, F. G.; Feigin, B. L.; Fuks, D. B. 36 1986 Homotopic topology. (Transl. from the Russian by K. Mályusz). Zbl 0615.55001 Fomenko, A. T.; Fuks, D. B.; Gutenmacher, V. L. 22 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. 5 1985 Verma modules over the Virasoro algebra. Zbl 0549.17010 Feigin, B. L.; Fuks, D. B. 48 1984 Cohomology of infinite dimensional Lie algebras. (Когомологии бесконечномерных алгебр Ли.) Zbl 0592.17011 Fuks, D. B. 45 1984 Beginner’s course in topology. Geometric chapters. Transl. from the Russian by A. Iacob. Zbl 0562.54003 Fuks, D. B.; Rokhlin, V. A. 29 1984 Cohomology of Lie superalgebras. Zbl 0586.17005 Fuks, D. B.; Leites, D. A. 25 1984 Representations of the Virasoro algebra. Zbl 0642.17007 Feigin, B. L.; Fuks, D. B. 12 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. 47 1983 Verma modules over the Virasoro algebra. Zbl 0526.17010 Feigin, B. L.; Fuks, D. B. 30 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. 98 1982 Homology of the Lie algebra of vector fields on the line. Zbl 0487.57011 Feĭgin, B. L.; Fuks, D. B. 33 1981 Premier cours de topologie. Chapitres geométriques. Traduit du russe par A. Sossinski. Zbl 0453.55001 Rokhlin, V. A.; Fuks, D. B. 4 1981 Cohomologies of a Lie algebra of vector fields on the straight line. Zbl 0482.57010 Feĭgin, B. L.; Fuks, D. B. 10 1980 Invariant differential operators on the line. Zbl 0434.58021 Feigin, B. L.; Fuks, D. B. 3 1980 Über invariante Differentialoperatoren auf einer Geraden. Zbl 0425.58024 Feigin, B. L.; Fuks, D. B. 2 1979 Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations. Zbl 0499.57001 Fuks, D. B. 11 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. 24 1977 Non-trivialite des classes caractéristiques de g-structures. Application aux classes caractéristiques de feuilletages. Zbl 0348.57006 Fuchs, Dimitri 3 1977 Non-trivialite des classes caractéristiques de g-structures. Applications aux variations des classes caractéristiques de feuilletages. Zbl 0348.57007 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. 15 1974 PL-foliations. Zbl 0294.57016 Gel’fand, I. M.; Fuks, D. B. 7 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 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. 7 1973 Cohomology of the Lie algebra of Hamiltonian formal vector fields. Zbl 0259.57023 Gel’fand, I. M.; Kalinin, D. I.; Fuks, D. B. 5 1973 The actions of infinite-dimensional Lie algebras. Zbl 0267.18023 Gel’fand, I. M.; Kazhdan, D. A.; Fuks, D. B. 6 1972 Cohomology of the Lie algebra of formal vector fields. Zbl 0216.20302 Gel’fand, I. M.; Fuks, D. B. 21 1971 Cohomologies of the group COS mod 2. Zbl 0222.57031 Fuks, D. B. 33 1970 Cohomologies of Lie algebra of tangential vector fields. II. Zbl 0208.51401 Gel’fand, I. M.; Fuks, D. B. 6 1970 Cohomologies of Lie algebra of vector fields with nontrivial coefficients. Zbl 0222.58001 Gel’fand, I. M.; Fuks, D. B. 6 1970 On cohomologies of the Lie algebra of smooth vector fields. Zbl 0264.17005 Gel’fand, I. M.; Fuks, D. B. 4 1970 Upper bounds for cohomology of infinite-dimensional Lie algebras. Zbl 0224.18013 Gel’fand, I. M.; Fuks, D. B. 3 1970 Über Zyklen, die Homologieklassen der Liealgebra formaler Vektorfelder darstellen. Zbl 0216.20401 Gel’fand, I. M.; Fuks, D. B. 1 1970 Cohomologies of the Lie algebra of tangential vector fields of a smooth manifold. Zbl 0216.20301 Gel’fand, I. M.; Fuks, D. B. 18 1969 Homotopische Topologie. Zbl 0189.54001 Fuks, D. B.; Fomenko, A. T.; Gutenmaher, V. L. 1 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. 55 1968 Maslov-Arnol’d characteristic classes. Zbl 0175.20304 Fuks, D. B. 15 1968 Some remarks on the duality of functors in a category of abelian groups. Zbl 0201.02402 Fuks, D. B. 1 1967 Topology of noncompact Lie groups. Zbl 0169.54702 Gel’fand, I. M.; 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 Eckmann-Hilton duality and the theory of functors in the category of topological spaces. Zbl 0153.53203 Fuks, D. B. 1 1966 The spectral sequence of a fibering. Zbl 0169.54701 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. 25 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. 3 1958 all cited Publications top 5 cited Publications all top 5 Cited by 1,382 Authors 32 Fialowski, Alice 17 Fuchs, Dmitry Borisovich 17 Tabachnikov, Serge L. 16 Bouarroudj, Sofiane 14 Feĭgin, Boris L’vovich 14 Ridout, David 12 Omri, Salem 12 Zhao, Kaiming 11 Ovsienko, Valentin Yu. 11 Penkava, Michael 11 Sabloff, Joshua M. 11 Zuevsky, Alexander 10 Basdouri, Imed 10 Ben Ammar, Mabrouk 10 Ben Fraj, Nizar 10 Bytsenko, Andrei A. 10 Ng, Lenhard L. 10 Rasmussen, Jorgen 10 Rutherford, Dan 9 Millionshchikov, Dmitriĭ Vladimirovich 9 Yur’ev, Denis Valer’evich 8 Etnyre, John B. 8 Leites, Dimitry A. 8 Liu, Dong 8 Mathieu, Pierre 8 Morozov, Oleg I. 8 Navarro, Rosa María 8 Pei, Yufeng 8 Wagemann, Friedrich 7 Abdaoui, Meher 7 Agrebaoui, Boujemaa 7 Casals, Roger 7 Gel’fand, Israil’ Moiseevich 7 Iohara, Kenji 7 Kac, Victor 7 McCoy, Barry M. 7 Roger, Claude 7 Sardanashvily, Gennadi A. 7 Schlichenmaier, Martin 6 Chaichian, Masud 6 Conley, Charles H. 6 Flohr, Michael A. I. 6 Kapranov, Mikhail M. 6 Khalfoun, Hafedh 6 Kirillov, Alexandre Aleksandrovich 6 Koga, Yoshiyuki 6 Kruglikov, Boris S. 6 Mandal, Ashis 6 Watts, Gerard M. T. 5 Billig, Yuly 5 Creutzig, Thomas 5 Evans, Tyler J. 5 Gao, Shoulan 5 Khakimdjanov, Yusupdjan Bakimdjanovich 5 Khesin, Boris A. 5 Kytölä, Kalle 5 Lü, Rencai 5 Makhlouf, Abdenacer 5 Neretin, Yuriĭ Aleksandrovich 5 Pei, Donghe 5 Ponsot, Bénédicte 5 Semikhatov, Alexei M. 5 Sharapov, Alexey A. 5 Sullivan, Michael G. 5 Sütlü, Serkan 5 Williams, Brian R. 5 Yanushauskas, Algimantas I. 5 Zusmanovich, Pasha 4 Berkovich, Alexander 4 Blagojević, Pavle V. M. 4 Callegaro, Filippo 4 Dimitroglou Rizell, Georgios 4 Dobrev, Vladimir K. 4 Dzhumadil’daev, Askar Serkulovich 4 Felder, Giovanni 4 Frenkel, Edward V. 4 Gómez, José R. 4 Grantcharov, Dimitar 4 Guo, Xiangqian 4 Izosimov, Anton 4 Kálmán, Tamás 4 Laraiedh, Ismail 4 Losik, Mark V. 4 Martin, Christiane 4 Musso, Emilio 4 Neeb, Karl-Hermann 4 Pestov, Vladimir G. 4 Piątek, Marcin R. 4 Pietrykowski, Artur R. 4 Polulyakh, Yevgen 4 Rangipour, Bahram 4 Saleur, Hubert 4 Serganova, Vera V. 4 Su, Yucai 4 Takahashi, Masatomo 4 Traynor, Lisa 4 Umehara, Masaaki 4 Varchenko, Alexander Nikolaevich 4 Vershinin, Vladimir V. 4 Vértesi, Vera ...and 1,282 more Authors all top 5 Cited in 254 Serials 58 Communications in Mathematical Physics 57 Journal of Algebra 56 Nuclear Physics. B 48 Journal of Geometry and Physics 46 Functional Analysis and its Applications 45 Journal of Mathematical Physics 36 Advances in Mathematics 35 Journal of High Energy Physics 23 Letters in Mathematical Physics 23 Siberian Mathematical Journal 23 Algebraic & Geometric Topology 21 Annales de l’Institut Fourier 20 Communications in Algebra 19 Mathematical Notes 19 Theoretical and Mathematical Physics 19 Journal of Mathematical Sciences (New York) 19 International Journal of Geometric Methods in Modern Physics 18 Proceedings of the American Mathematical Society 18 Topology and its Applications 17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15 Journal of Pure and Applied Algebra 15 Transactions of the American Mathematical Society 15 Journal of Nonlinear Mathematical Physics 14 Journal of Knot Theory and its Ramifications 14 Geometry & Topology 13 Ukrainian Mathematical Journal 11 International Journal of Modern Physics A 11 Physics Letters. B 11 Communications in Contemporary Mathematics 10 Journal of Soviet Mathematics 10 Journal of Algebra and its Applications 10 Proceedings of the Steklov Institute of Mathematics 9 Compositio Mathematica 9 Geometriae Dedicata 9 Mathematische Zeitschrift 8 Journal of Functional Analysis 8 Sbornik: Mathematics 8 Journal of Topology 7 Reviews in Mathematical Physics 7 The Mathematical Intelligencer 7 Duke Mathematical Journal 7 Algebras and Representation Theory 7 Arnold Mathematical Journal 6 Reports on Mathematical Physics 6 Proceedings of the Japan Academy. Series A 6 International Journal of Mathematics 6 Journal of Lie Theory 6 Science China. Mathematics 5 American Mathematical Monthly 5 Journal of Statistical Physics 5 Journal für die Reine und Angewandte Mathematik 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Discrete & Computational Geometry 5 Linear Algebra and its Applications 5 Indagationes Mathematicae. New Series 5 Russian Mathematics 5 Selecta Mathematica. New Series 5 Transformation Groups 5 Journal of the European Mathematical Society (JEMS) 5 Journal of Statistical Mechanics: Theory and Experiment 4 International Journal of Theoretical Physics 4 Israel Journal of Mathematics 4 Physics Letters. A 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Mathematische Annalen 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Georgian Mathematical Journal 4 Acta Mathematica Sinica. English Series 4 Journal of the Institute of Mathematics of Jussieu 4 Quantum Topology 3 Discrete Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Russian Mathematical Surveys 3 Beiträge zur Algebra und Geometrie 3 Bulletin de la Société Mathématique de France 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Inventiones Mathematicae 3 Tôhoku Mathematical Journal. Second Series 3 Advances in Applied Mathematics 3 Acta Mathematica Hungarica 3 Acta Applicandae Mathematicae 3 Annals of Global Analysis and Geometry 3 Journal of the American Mathematical Society 3 Differential Geometry and its Applications 3 Geometric and Functional Analysis. GAFA 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Nuclear Physics. B. Proceedings Supplements 3 Doklady Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin of the American Mathematical Society 3 Proceedings of the Japan Academy 3 Journal of Noncommutative Geometry 3 Journal of Topology and Analysis 3 Advances in Mathematical Physics 3 Journal of Geometric Mechanics 3 Afrika Matematika 3 Research in the Mathematical Sciences 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Analysis and Applications ...and 154 more Serials all top 5 Cited in 59 Fields 573 Nonassociative rings and algebras (17-XX) 295 Quantum theory (81-XX) 259 Manifolds and cell complexes (57-XX) 250 Differential geometry (53-XX) 154 Global analysis, analysis on manifolds (58-XX) 110 Algebraic geometry (14-XX) 90 Dynamical systems and ergodic theory (37-XX) 90 Algebraic topology (55-XX) 70 Topological groups, Lie groups (22-XX) 57 Associative rings and algebras (16-XX) 52 Group theory and generalizations (20-XX) 51 Convex and discrete geometry (52-XX) 41 Relativity and gravitational theory (83-XX) 40 Several complex variables and analytic spaces (32-XX) 40 Geometry (51-XX) 39 Partial differential equations (35-XX) 36 Functional analysis (46-XX) 34 Combinatorics (05-XX) 33 Category theory; homological algebra (18-XX) 31 Statistical mechanics, structure of matter (82-XX) 22 Number theory (11-XX) 22 Commutative algebra (13-XX) 22 Operator theory (47-XX) 21 Ordinary differential equations (34-XX) 18 Functions of a complex variable (30-XX) 18 General topology (54-XX) 18 Mechanics of particles and systems (70-XX) 17 \(K\)-theory (19-XX) 15 Special functions (33-XX) 11 Probability theory and stochastic processes (60-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 6 Difference and functional equations (39-XX) 5 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 3 Mathematics education (97-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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