Edit Profile (opens in new tab) Voronov, Alexander A. Co-Author Distance Author ID: voronov.alexander-a Published as: Voronov, Alexander A.; Voronov, A. A.; Voronov, Alexander; Voronov, A. more...less Homepage: http://www.math.umn.edu/~voronov/ External Links: MGP · Wikidata · Math-Net.Ru Documents Indexed: 54 Publications since 1984, including 1 Book and 8 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 33 Co-Authors with 38 Joint Publications 1,080 Co-Co-Authors all top 5 Co-Authors 18 single-authored 4 Kimura, Takashi 3 Bashkirov, Denis 3 Gerstenhaber, Murray 3 Manin, Yuriĭ Ivanovich 3 Markl, Martin 3 Sati, Hisham 3 Stasheff, James D. 2 Cohen, Ralph L. 2 Kaufmann, Ralph M. 2 Maxwell, Katherine A. 2 Ott, Nadia 2 Penkov, Ivan B. 2 Rosly, A. A. 2 Schwarz, Albert S. 1 Badzioch, Bernard 1 Bakalov, Bojko 1 Beilinson, Alexander A. 1 Berkovich, Vladimir G. 1 Bogomolov, Fedor Alekseivich 1 Cacciatori, Sergio Luigi 1 Chung, Kuerak 1 Colliot-Thélène, Jean-Louis 1 Drinfeld, Vladimir Gershonovich 1 Feshbach, Mark 1 Flato, Moshé 1 Goncharov, Alexander Borisovich 1 Grushevsky, Samuel 1 Harrelson, Eric 1 Harris, Michael Howard 1 Hess, Kathryn P. 1 Hu, Po 1 Kac, Victor 1 Katz, Nicholas Michael 1 Kříž, Igor 1 Loday, Jean-Louis 1 Marcolli, Matilde 1 Reshetikhin, Nikolai Yu. 1 Sakallı, Sümeyra 1 Schechtman, Vadim 1 Sharma, Amit Raj 1 Shokurov, Vyacheslav Vladimirovich 1 Skorobogatov, Alexei Nikolaïevitch 1 Tschinkel, Yuri 1 Tsfasman, Michael A. 1 Weinstein, Alan David 1 Zagier, Don 1 Zarkhin, Yuriĭ Gennad’evich 1 Zuckerman, Gregg J. 1 Zúñiga, J. Javier all top 5 Serials 7 Communications in Mathematical Physics 4 Functional Analysis and its Applications 3 Letters in Mathematical Physics 2 Journal of Soviet Mathematics 2 Advances in Theoretical and Mathematical Physics 2 Pure and Applied Mathematics Quarterly 2 Contemporary Mathematics 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 Journal of High Energy Physics 1 Journal of Homotopy and Related Structures 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 27 Quantum theory (81-XX) 23 Category theory; homological algebra (18-XX) 22 Algebraic geometry (14-XX) 19 Algebraic topology (55-XX) 18 Nonassociative rings and algebras (17-XX) 12 Associative rings and algebras (16-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Manifolds and cell complexes (57-XX) 6 Differential geometry (53-XX) 3 \(K\)-theory (19-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 689 times in 566 Documents Cited by ▼ Year ▼ Cohomology of conformal algebras. Zbl 0959.17018 Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A. 110 1999 Homotopy \(G\)-algebras and moduli space operad. Zbl 0827.18004 Gerstenhaber, Murray; Voronov, Alexander A. 90 1995 Higher operations on the Hochschild complex. Zbl 0849.16010 Voronov, A. A.; Gerstenhaber, M. 55 1995 Homotopy Gerstenhaber algebras. Zbl 0974.16005 Voronov, Alexander A. 47 2000 On operad structures of moduli spaces and string theory. Zbl 0844.57039 Kimura, Takashi; Stasheff, Jim; Voronov, Alexander A. 42 1995 The Swiss-cheese operad. Zbl 0946.55005 Voronov, Alexander A. 40 1999 Geometry of superconformal manifolds. Zbl 0675.58010 Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. 35 1988 Cohomology and deformation of Leibniz pairs. Zbl 0844.17015 Flato, M.; Gerstenhaber, M.; Voronov, A. A. 33 1995 Notes on universal algebra. Zbl 1083.18005 Voronov, Alexander A. 22 2005 String topology and cyclic homology. Zbl 1089.57002 Cohen, Ralph L.; Hess, Kathryn; Voronov, Alexander A. 22 2006 PROPped-up graph cohomology. Zbl 1208.18008 Markl, M.; Voronov, A. A. 19 2009 Semi-infinite homological algebra. Zbl 0805.17015 Voronov, Alexander A. 17 1993 Elements of supergeometry. Zbl 0736.58004 Voronov, A. A.; Manin, Yu. I.; Penkov, I. B. 15 1988 Semi-infinite induction and Wakimoto modules. Zbl 0962.17015 Voronov, Alexander A. 12 1999 Mappings of supermanifolds. Zbl 0569.58005 Voronov, A. A. 12 1984 A formula for Mumford measure in superstring theory. Zbl 0688.14025 Voronov, A. A. 11 1988 Operads: Proceedings of renaissance conferences. Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May–June 1995, Hartford, CT, USA/Luminy, France. Zbl 0855.00018 9 1997 Superconformal geometry and string theory. Zbl 0667.58008 Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. 8 1989 Homotopy Gerstenhaber algebras and topological field theory. Zbl 0881.55016 Kimura, Takashi; Voronov, Alexander A.; Zuckerman, Gregg J. 8 1997 Semiquantum geometry. Zbl 0896.17004 Reshetikhin, N.; Voronov, A.; Weinstein, A. 8 1996 On Kontsevich’s Hochschild cohomology conjecture. Zbl 1109.18001 Hu, Po; Kriz, Igor; Voronov, Alexander A. 8 2006 Homology of moduli of curves and commutative homotopy algebras. Zbl 0858.18010 Kimura, Takashi; Stasheff, Jim; Voronov, Alexander 7 1996 The BV formalism for \(L_\infty \)-algebras. Zbl 1371.18015 Bashkirov, Denis; Voronov, Alexander A. 7 2017 Graph homology: Koszul and Verdier duality. Zbl 1158.55006 Lazarev, A.; Voronov, A. A. 7 2008 Supercell partitions of flag superspaces. Zbl 0736.58005 Voronov, A. A.; Manin, Yu. I. 5 1988 Quantizing Poisson manifolds. Zbl 0899.16012 Voronov, Alexander A. 5 1998 Open-closed moduli spaces and related algebraic structures. Zbl 1201.32009 Harrelson, Eric; Voronov, Alexander A.; Zúñiga, J. Javier 5 2010 The canonical delooping machine. Zbl 1109.55006 Badzioch, Bernard; Chung, Kuerak; Voronov, Alexander A. 4 2007 The cohomology of algebras over moduli spaces. Zbl 0906.17016 Kimura, Takashi; Voronov, Alexander A. 3 1995 The MV formalism for \({\mathrm{IBL}}_\infty \)- and \({\mathrm{BV}}_\infty \)-algebras. Zbl 1382.16007 Markl, Martin; Voronov, Alexander A. 3 2017 Mysterious triality and rational homotopy theory. Zbl 1523.81145 Sati, Hisham; Voronov, Alexander A. 3 2023 Topological field theories, string backgrounds and homotopy algebras. Zbl 0864.57035 Voronov, A. A. 2 1994 Quantizing deformation theory. II. Zbl 1436.14026 Voronov, Alexander A. 2 2020 Categorification of Dijkgraaf-Witten theory. Zbl 1384.81128 Sharma, Amit; Voronov, Alexander A. 2 2017 The supermoduli space of genus zero super Riemann surfaces with Ramond punctures. Zbl 1508.32002 Ott, Nadia; Voronov, Alexander A. 2 2023 Complex divisors on algebraic curves and some applications to string theory. Zbl 0782.14025 Voronov, A. A. 1 1992 BRST cohomology: A new derived functor. Zbl 0814.17019 Voronov, Alexander A. 1 1992 Semi-infinite cohomology of Lie algebras. Zbl 0820.17030 Voronov, Alexander A. 1 1994 Relative disposition of the Schubert supervarieties and resolution of their singularities. Zbl 0649.14028 Voronov, A. A. 1 1987 A unified approach to string scattering amplitudes. Zbl 0704.32007 Voronov, A. A. 1 1990 \(r_\infty\)-matrices, triangular \(L_\infty\)-bialgebras and quantum\(_\infty\) groups. Zbl 1407.17015 Bashkirov, Denis; Voronov, Alexander A. 1 2015 Mysterious triality and rational homotopy theory. Zbl 1523.81145 Sati, Hisham; Voronov, Alexander A. 3 2023 The supermoduli space of genus zero super Riemann surfaces with Ramond punctures. Zbl 1508.32002 Ott, Nadia; Voronov, Alexander A. 2 2023 Quantizing deformation theory. II. Zbl 1436.14026 Voronov, Alexander A. 2 2020 The BV formalism for \(L_\infty \)-algebras. Zbl 1371.18015 Bashkirov, Denis; Voronov, Alexander A. 7 2017 The MV formalism for \({\mathrm{IBL}}_\infty \)- and \({\mathrm{BV}}_\infty \)-algebras. Zbl 1382.16007 Markl, Martin; Voronov, Alexander A. 3 2017 Categorification of Dijkgraaf-Witten theory. Zbl 1384.81128 Sharma, Amit; Voronov, Alexander A. 2 2017 \(r_\infty\)-matrices, triangular \(L_\infty\)-bialgebras and quantum\(_\infty\) groups. Zbl 1407.17015 Bashkirov, Denis; Voronov, Alexander A. 1 2015 Open-closed moduli spaces and related algebraic structures. Zbl 1201.32009 Harrelson, Eric; Voronov, Alexander A.; Zúñiga, J. Javier 5 2010 PROPped-up graph cohomology. Zbl 1208.18008 Markl, M.; Voronov, A. A. 19 2009 Graph homology: Koszul and Verdier duality. Zbl 1158.55006 Lazarev, A.; Voronov, A. A. 7 2008 The canonical delooping machine. Zbl 1109.55006 Badzioch, Bernard; Chung, Kuerak; Voronov, Alexander A. 4 2007 String topology and cyclic homology. Zbl 1089.57002 Cohen, Ralph L.; Hess, Kathryn; Voronov, Alexander A. 22 2006 On Kontsevich’s Hochschild cohomology conjecture. Zbl 1109.18001 Hu, Po; Kriz, Igor; Voronov, Alexander A. 8 2006 Notes on universal algebra. Zbl 1083.18005 Voronov, Alexander A. 22 2005 Homotopy Gerstenhaber algebras. Zbl 0974.16005 Voronov, Alexander A. 47 2000 Cohomology of conformal algebras. Zbl 0959.17018 Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A. 110 1999 The Swiss-cheese operad. Zbl 0946.55005 Voronov, Alexander A. 40 1999 Semi-infinite induction and Wakimoto modules. Zbl 0962.17015 Voronov, Alexander A. 12 1999 Quantizing Poisson manifolds. Zbl 0899.16012 Voronov, Alexander A. 5 1998 Operads: Proceedings of renaissance conferences. Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May–June 1995, Hartford, CT, USA/Luminy, France. Zbl 0855.00018 9 1997 Homotopy Gerstenhaber algebras and topological field theory. Zbl 0881.55016 Kimura, Takashi; Voronov, Alexander A.; Zuckerman, Gregg J. 8 1997 Semiquantum geometry. Zbl 0896.17004 Reshetikhin, N.; Voronov, A.; Weinstein, A. 8 1996 Homology of moduli of curves and commutative homotopy algebras. Zbl 0858.18010 Kimura, Takashi; Stasheff, Jim; Voronov, Alexander 7 1996 Homotopy \(G\)-algebras and moduli space operad. Zbl 0827.18004 Gerstenhaber, Murray; Voronov, Alexander A. 90 1995 Higher operations on the Hochschild complex. Zbl 0849.16010 Voronov, A. A.; Gerstenhaber, M. 55 1995 On operad structures of moduli spaces and string theory. Zbl 0844.57039 Kimura, Takashi; Stasheff, Jim; Voronov, Alexander A. 42 1995 Cohomology and deformation of Leibniz pairs. Zbl 0844.17015 Flato, M.; Gerstenhaber, M.; Voronov, A. A. 33 1995 The cohomology of algebras over moduli spaces. Zbl 0906.17016 Kimura, Takashi; Voronov, Alexander A. 3 1995 Topological field theories, string backgrounds and homotopy algebras. Zbl 0864.57035 Voronov, A. A. 2 1994 Semi-infinite cohomology of Lie algebras. Zbl 0820.17030 Voronov, Alexander A. 1 1994 Semi-infinite homological algebra. Zbl 0805.17015 Voronov, Alexander A. 17 1993 Complex divisors on algebraic curves and some applications to string theory. Zbl 0782.14025 Voronov, A. A. 1 1992 BRST cohomology: A new derived functor. Zbl 0814.17019 Voronov, Alexander A. 1 1992 A unified approach to string scattering amplitudes. Zbl 0704.32007 Voronov, A. A. 1 1990 Superconformal geometry and string theory. Zbl 0667.58008 Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. 8 1989 Geometry of superconformal manifolds. Zbl 0675.58010 Rosly, A. A.; Schwarz, A. S.; Voronov, A. A. 35 1988 Elements of supergeometry. Zbl 0736.58004 Voronov, A. A.; Manin, Yu. I.; Penkov, I. B. 15 1988 A formula for Mumford measure in superstring theory. Zbl 0688.14025 Voronov, A. A. 11 1988 Supercell partitions of flag superspaces. Zbl 0736.58005 Voronov, A. A.; Manin, Yu. I. 5 1988 Relative disposition of the Schubert supervarieties and resolution of their singularities. Zbl 0649.14028 Voronov, A. A. 1 1987 Mappings of supermanifolds. Zbl 0569.58005 Voronov, A. A. 12 1984 all cited Publications top 5 cited Publications all top 5 Cited by 572 Authors 20 Hong, Yanyong 14 Su, Yucai 13 Merkulov, Sergei A. 13 Yuan, Lamei 11 Kac, Victor 11 Voronov, Alexander A. 11 Willwacher, Thomas Hans 11 Xia, Chunguang 9 Das, Apurba 9 Markl, Martin 9 Yue, Xiaoqing 8 Kolesnikov, Pavel Sergeevich 8 Wu, Henan 8 Wu, Zhixiang 7 De Sole, Alberto 7 Kaufmann, Ralph M. 6 Chen, Liangyun 6 Dotsenko, Vladimir Viktorovich 6 Kadeishvili, Tornike V. 6 Liu, Jiefeng 6 Livernet, Muriel 6 Rabin, Jeffrey M. 6 Stasheff, James D. 6 Turchin, Victor Éduardovich 6 Vallette, Bruno 5 Bakalov, Bojko 5 Bao, Yanhong 5 Dolgushev, Vasily A. 5 Han, Xiu 5 Khoroshkin, Anton 5 Kozlov, Roman A. 5 Paal, Eugen 5 Schwarz, Albert S. 5 Shadrin, Sergey 5 Sharapov, Alexey A. 5 Sheng, Yunhe 5 Skvortsov, Evgeny D. 5 Wang, Dengyin 5 Ward, Benjamin C. 5 Ye, Yu 4 Arakawa, Tomoyuki 4 Bai, Chengming 4 D’Andrea, Alessandro 4 Francis, John 4 Ginot, Grégory 4 Hoefel, Eduardo 4 Huang, Yi-Zhi 4 Kříž, Igor 4 Kubo, Fujio 4 Liberati, Jose I. 4 Robertson, Marcy 4 Ronco, María Ofelia 4 Saneblidze, Samson 4 Staic, Mihai D. 3 Ben-Zvi, David 3 Boyallian, Carina 3 Brochier, Adrien 3 Bruce, Andrew James 3 Cacciatori, Sergio Luigi 3 Calaque, Damien 3 Ducoulombier, Julien 3 Fan, Guangzhe 3 Felder, Giovanni 3 Fioresi, Rita 3 Hackney, Philip 3 Halbout, Gilles 3 Hou, Bo 3 Hu, Po 3 Idrissi, Najib 3 Jordan, David Andrew 3 Kajiura, Hiroshige 3 Kluge, Liivi 3 Luo, Lipeng 3 Ma, Yao 3 Malikov, Fyodor 3 Manin, Yuriĭ Ivanovich 3 Markarian, Nikita 3 Polishchuk, Alexander Evgen’evich 3 Rosly, A. A. 3 Salvatore, Paolo 3 Sati, Hisham 3 Schreiber, Urs 3 Seidel, Paul 3 Tonks, Andrew 3 Tsygan, Boris 3 Van den Bergh, Michel 3 Westerland, Craig 3 Xu, Ping 3 Xu, Ying 3 Yau, Donald Y. 3 Zhao, Jun 3 Zhao, Jun 2 Abbondandolo, Alberto 2 Akman, Füsun 2 AlHussein, Hassan 2 Ayala, David 2 Bashkirov, Denis 2 Behrend, Kai A. 2 Bettadapura, Kowshik 2 Briggs, Benjamin ...and 472 more Authors all top 5 Cited in 121 Serials 37 Communications in Mathematical Physics 34 Journal of Algebra 33 Journal of Pure and Applied Algebra 31 Communications in Algebra 27 Advances in Mathematics 26 Journal of Geometry and Physics 21 Journal of Mathematical Physics 20 Letters in Mathematical Physics 15 Algebraic & Geometric Topology 13 Geometry & Topology 11 Nuclear Physics. B 11 Transactions of the American Mathematical Society 11 Journal of Algebra and its Applications 10 Proceedings of the American Mathematical Society 10 Journal of High Energy Physics 10 Journal of Noncommutative Geometry 9 Selecta Mathematica. New Series 9 Journal of Topology 8 Reports on Mathematical Physics 8 Forum Mathematicum 8 Journal of Homotopy and Related Structures 7 Compositio Mathematica 7 Journal of Mathematical Sciences (New York) 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Duke Mathematical Journal 6 Topology and its Applications 6 International Journal of Mathematics 5 Representation Theory 4 Linear and Multilinear Algebra 4 Applied Categorical Structures 4 Algebras and Representation Theory 4 Acta Mathematica Sinica. English Series 4 Japanese Journal of Mathematics. 3rd Series 4 Higher Structures 3 Annales de l’Institut Fourier 3 Inventiones Mathematicae 3 Journal of the American Mathematical Society 3 International Journal of Algebra and Computation 3 Differential Geometry and its Applications 3 Annales Mathématiques Blaise Pascal 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Frontiers of Mathematics in China 3 Science China. Mathematics 3 Transactions of A. Razmadze Mathematical Institute 2 Bulletin of the Australian Mathematical Society 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Moscow University Mathematics Bulletin 2 Reviews in Mathematical Physics 2 Algebra and Logic 2 Colloquium Mathematicum 2 Journal of Soviet Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Geometric and Functional Analysis. GAFA 2 Algebra Colloquium 2 Theory and Applications of Categories 2 Communications in Contemporary Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Oberwolfach Reports 2 Electronic Research Archive 1 Discrete Mathematics 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Bulletin of the London Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Semigroup Forum 1 Bulletin of the Iranian Mathematical Society 1 \(K\)-Theory 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Journal of Algebraic Combinatorics 1 St. Petersburg Mathematical Journal 1 Transformation Groups ...and 21 more Serials all top 5 Cited in 33 Fields 249 Nonassociative rings and algebras (17-XX) 168 Category theory; homological algebra (18-XX) 159 Associative rings and algebras (16-XX) 129 Algebraic topology (55-XX) 98 Quantum theory (81-XX) 84 Differential geometry (53-XX) 71 Algebraic geometry (14-XX) 70 Global analysis, analysis on manifolds (58-XX) 48 Manifolds and cell complexes (57-XX) 36 Several complex variables and analytic spaces (32-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Relativity and gravitational theory (83-XX) 15 Commutative algebra (13-XX) 13 \(K\)-theory (19-XX) 12 Group theory and generalizations (20-XX) 11 Combinatorics (05-XX) 10 Topological groups, Lie groups (22-XX) 10 Functional analysis (46-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 7 Mechanics of particles and systems (70-XX) 5 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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