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 Author ID: vaintrob.arkady Published as: Vaintrob, Arkady; Vaintrob, A.; Vaintrob, A. Yu. Homepage: http://pages.uoregon.edu/vaintrob/ External Links: MGP · Math-Net.Ru
 Documents Indexed: 25 Publications since 1991, including 1 Book
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Co-Authors

 8 single-authored 6 Kimura, Takashi 5 Jarvis, Tyler J. 4 Polishchuk, Alexander Evgen’evich 2 Hinich, Vladimir 2 Masbaum, Gregor 1 Bershadsky, Michael 1 Figueroa-O’Farrill, José Miguel 1 Malikov, Fyodor 1 Retakh, Vladimir Solomonovich 1 Reutenauer, Christophe 1 Schechtman, Vadim 1 Zhukov, Slava
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Serials

 3 Communications in Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Mathematical Research Letters 1 Contemporary Mathematics
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Fields

 9 Algebraic geometry (14-XX) 9 Manifolds and cell complexes (57-XX) 6 Nonassociative rings and algebras (17-XX) 6 Quantum theory (81-XX) 4 Category theory; homological algebra (18-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 2 Commutative algebra (13-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Computer science (68-XX)

Citations contained in zbMATH Open

23 Publications have been cited 372 times in 315 Documents Cited by Year
Chiral de Rham complex. Zbl 0952.14013
1999
Lie algebroids and homological vector fields. Zbl 0955.58017
Vaintrob, A. Yu.
1997
Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations. Zbl 1249.14001
2012
Moduli spaces of higher spin curves and integrable hierarchies. Zbl 1015.14028
Jarvis, Tyler J.; Kimura, Takashi; Vaintrob, Arkady
2001
Algebraic construction of Witten’s top Chern class. Zbl 1051.14007
2001
$$\text{PSL}(n|n)$$ sigma model as a conformal field theory. Zbl 0957.81064
1999
Matrix factorizations and cohomological field theories. Zbl 1357.14024
2016
A new matrix-tree theorem. Zbl 1008.05100
2002
Cyclic operads and algebra of chord diagrams. Zbl 0999.18008
2002
Matrix factorizations and singularity categories for stacks. (Factorisations matricielles et catégories des singularités pour les champs algébriques.) Zbl 1278.13014
2011
The universal Vassiliev invariant for the Lie superalgebra $$gl(1|1)$$. Zbl 0919.57001
Figueroa-O’Farrill, José M.; Kimura, Takashi; Vaintrob, Arkady
1997
Gravitational descendants and the moduli space of higher spin curves. Zbl 0986.81105
Jarvis, Tyler J.; Kimura, Takashi; Vaintrob, Arkady
2001
Augmented Teichmüller spaces and orbifolds. Zbl 1222.32027
2010
Milnor numbers, spanning trees, and the Alexander-Conway polynomial. Zbl 1041.57005
2003
Normal forms of homological vector fields. Zbl 0902.58001
Vaintrob, A.
1996
Melvin-Morton conjecture and primitive Feynman diagrams. Zbl 0890.57003
1997
Vassiliev knot invariants and Lie $$S$$-algebras. Zbl 0853.57008
1994
Noncommutative rational functions and Farber’s invariants of boundary links. Zbl 0971.68103
1999
Tensor products of Frobenius manifolds and moduli spaces of higher spin curves. Zbl 0988.81120
Jarvis, Tyler J.; Kimura, Takashi; Vaintrob, Arkady
2000
Darboux theorem and equivariant Morse lemma. Zbl 0881.58004
1996
Universal weight systems and the Melvin-Morton expansion of the colored Jones knot invariant. Zbl 0911.57005
Vaintrob, A.
1996
Spin Gromov-Witten invariants. Zbl 1094.14042
Jarvis, Tyler J.; Kimura, Takashi; Vaintrob, Arkady
2005
Conformal Lie superalgebras and moduli spaces. Zbl 0858.17028
1995
Matrix factorizations and cohomological field theories. Zbl 1357.14024
2016
Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations. Zbl 1249.14001
2012
Matrix factorizations and singularity categories for stacks. (Factorisations matricielles et catégories des singularités pour les champs algébriques.) Zbl 1278.13014
2011
Augmented Teichmüller spaces and orbifolds. Zbl 1222.32027
2010
Spin Gromov-Witten invariants. Zbl 1094.14042
Jarvis, Tyler J.; Kimura, Takashi; Vaintrob, Arkady
2005
Milnor numbers, spanning trees, and the Alexander-Conway polynomial. Zbl 1041.57005
2003
A new matrix-tree theorem. Zbl 1008.05100
2002
Cyclic operads and algebra of chord diagrams. Zbl 0999.18008
2002
Moduli spaces of higher spin curves and integrable hierarchies. Zbl 1015.14028
Jarvis, Tyler J.; Kimura, Takashi; Vaintrob, Arkady
2001
Algebraic construction of Witten’s top Chern class. Zbl 1051.14007
2001
Gravitational descendants and the moduli space of higher spin curves. Zbl 0986.81105
Jarvis, Tyler J.; Kimura, Takashi; Vaintrob, Arkady
2001
Tensor products of Frobenius manifolds and moduli spaces of higher spin curves. Zbl 0988.81120
Jarvis, Tyler J.; Kimura, Takashi; Vaintrob, Arkady
2000
Chiral de Rham complex. Zbl 0952.14013
1999
$$\text{PSL}(n|n)$$ sigma model as a conformal field theory. Zbl 0957.81064
1999
Noncommutative rational functions and Farber’s invariants of boundary links. Zbl 0971.68103
1999
Lie algebroids and homological vector fields. Zbl 0955.58017
Vaintrob, A. Yu.
1997
The universal Vassiliev invariant for the Lie superalgebra $$gl(1|1)$$. Zbl 0919.57001
Figueroa-O&rsquo;Farrill, José M.; Kimura, Takashi; Vaintrob, Arkady
1997
Melvin-Morton conjecture and primitive Feynman diagrams. Zbl 0890.57003
1997
Normal forms of homological vector fields. Zbl 0902.58001
Vaintrob, A.
1996
Darboux theorem and equivariant Morse lemma. Zbl 0881.58004
1996
Universal weight systems and the Melvin-Morton expansion of the colored Jones knot invariant. Zbl 0911.57005
Vaintrob, A.
1996
Conformal Lie superalgebras and moduli spaces. Zbl 0858.17028
1995
Vassiliev knot invariants and Lie $$S$$-algebras. Zbl 0853.57008
1994
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Cited by 379 Authors

 12 Ruan, Yongbin 9 Linshaw, Andrew Ross 8 Jarvis, Tyler J. 8 Vaintrob, Arkady 7 Bruce, Andrew James 7 Heluani, Reimundo 6 Buryak, Alexandr Y. 6 Carqueville, Nils 6 Grabowski, Janusz 6 Polishchuk, Alexander Evgen’evich 6 Strobl, Thomas 5 Borisov, Lev A. 5 Chiodo, Alessandro 5 Fan, Huijun 5 Ikeda, Noriaki 5 Schomerus, Volker 5 Walker, Mark E. 4 Antunes, Paulo 4 Brown, Michael Kegan 4 Chang, Huai-Liang 4 Kapranov, Mikhail M. 4 Li, Jun 4 Malikov, Fyodor 4 Nunes da Costa, Joana Margarida M. 4 Rossi, Paolo 4 Sharapov, Alexey A. 4 Song, Bailin 4 Vasserot, Eric 4 Zabzine, Maxim 4 Zvonkine, Dimitri 3 Arakawa, Tomoyuki 3 Ballard, Matthew Robert 3 Bar-Natan, Dror 3 Cariñena, José F. 3 Clader, Emily 3 Eberhardt, Lorenz 3 Ekstrand, Joel 3 Favero, David 3 Ferreira, Kevin 3 Frenkel, Edward V. 3 Gorelik, Maria 3 Katzarkov, Ludmil 3 Li, Wei-Ping 3 Mehta, Rajan Amit 3 Murfet, Daniel 3 Quella, Thomas 3 Runkel, Ingo 3 Shadrin, Sergey V. 3 Stiénon, Mathieu 3 Wendland, Katrin 3 Xu, Ping 2 Băbălîc, Elena-Mirela 2 Billig, Yuly 2 Bressler, Paul 2 Brézin, Edouard 2 Brunner, Ilka 2 Celikbas, Olgur 2 Chmutov, Sergei V. 2 Cho, Cheol-Hyun 2 Creutzig, Thomas 2 Doryn, Dmitry 2 Dubrovin, Boris Anatol’evich 2 Dyckerhoff, Tobias 2 Gaberdiel, Matthias R. 2 Garoufalidis, Stavros 2 Gorbounov, Vassily 2 Guéré, Jérémy 2 Habiro, Kazuo 2 Hackney, Philip 2 Hikami, Shinobu 2 Hinich, Vladimir 2 Janda, Felix 2 Kiem, Young-Hoon 2 Kimura, Takashi 2 Kiselev, Arthemy V. 2 Kotov, Alexei 2 Laurent-Gengoux, Camille 2 Lazaroiu, Calin Iuliu 2 Lian, Bong H. 2 Libgober, Anatoly S. 2 Liu, Chiu-Chu Melissa 2 Losev, Andrei S. 2 Lyakhovich, Simon L. 2 Mathai, Varghese 2 Meilhan, Jean-Baptiste 2 Merati, S. 2 Mitev, Vladimir 2 Mosman, Elena A. 2 Pandharipande, Rahul 2 Parkhomenko, Sergeĭ Evgen’evich 2 Patureau-Mirand, Bertrand 2 Pixton, Aaron 2 Plencner, Daniel 2 Positselski, Leonid Efimovich 2 Rotkiewicz, Mikołaj 2 Saleur, Hubert 2 Santos, Patrícia S. 2 Ševera, Pavol 2 Strozecki, Yann 2 Tavakol, Mehdi ...and 279 more Authors
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Cited in 77 Serials

 34 Communications in Mathematical Physics 25 Journal of Geometry and Physics 23 Advances in Mathematics 17 Journal of High Energy Physics 14 Nuclear Physics. B 12 Letters in Mathematical Physics 10 Journal of Mathematical Physics 10 Journal of Algebra 7 Annales de l’Institut Fourier 6 Transactions of the American Mathematical Society 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Journal für die Reine und Angewandte Mathematik 5 Chinese Annals of Mathematics. Series B 5 Differential Geometry and its Applications 5 Selecta Mathematica. New Series 5 Geometry & Topology 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 International Journal of Geometric Methods in Modern Physics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 International Journal of Modern Physics A 3 Israel Journal of Mathematics 3 Reports on Mathematical Physics 3 Compositio Mathematica 3 Publications Mathématiques 3 Mathematische Annalen 3 Journal of the American Mathematical Society 3 International Journal of Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Knot Theory and its Ramifications 3 Journal of Algebraic Geometry 3 Journal of Mathematical Sciences (New York) 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Poincaré 3 Algebraic & Geometric Topology 3 Quantum Topology 2 Reviews in Mathematical Physics 2 Journal of Combinatorial Theory. Series A 2 Journal of Pure and Applied Algebra 2 Advances in Applied Mathematics 2 Linear Algebra and its Applications 2 Applied Categorical Structures 2 Transformation Groups 2 Journal of Noncommutative Geometry 2 Arnold Mathematical Journal 1 Computer Physics Communications 1 Journal of Statistical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Siberian Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Discrete & Computational Geometry 1 Forum Mathematicum 1 Random Structures & Algorithms 1 The Journal of Geometric Analysis 1 Indagationes Mathematicae. New Series 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Journal of Lie Theory 1 Theory of Computing Systems 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Moscow Mathematical Journal 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Algebra & Number Theory 1 Journal of Topology 1 Advances in High Energy Physics 1 Journal of $$K$$-Theory 1 Communications in Theoretical Physics 1 Analysis and Mathematical Physics
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Cited in 27 Fields

 116 Algebraic geometry (14-XX) 96 Quantum theory (81-XX) 89 Differential geometry (53-XX) 80 Nonassociative rings and algebras (17-XX) 53 Global analysis, analysis on manifolds (58-XX) 41 Manifolds and cell complexes (57-XX) 38 Category theory; homological algebra (18-XX) 33 Several complex variables and analytic spaces (32-XX) 21 Associative rings and algebras (16-XX) 18 Relativity and gravitational theory (83-XX) 14 Topological groups, Lie groups (22-XX) 14 Algebraic topology (55-XX) 13 Combinatorics (05-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Commutative algebra (13-XX) 10 Mechanics of particles and systems (70-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Partial differential equations (35-XX) 7 Number theory (11-XX) 4 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Group theory and generalizations (20-XX) 1 $$K$$-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX)