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Merkulov, Sergei A.

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Author ID: merkulov.sergei-a Recent zbMATH articles by "Merkulov, Sergei A."
Published as: Merkulov, S. A.; Merkulov, Sergey A.; Merkulov, Sergei; Merkulov, Sergei A.; Merkulov, Sergey; Merkulov, S.
External Links: MGP
Documents Indexed: 69 Publications since 1984

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 375 times in 262 Documents Cited by Year
Strong homotopy algebras of a Kähler manifold. Zbl 0995.32013
Merkulov, S. A.
61
1999
Classification of irreducible holonomies of torsion-free affine connections. Zbl 0992.53038
Merkulov, Sergei; Schwachhöfer, Lorenz
40
1999
Deformation theory of representations of prop(erad)s I. Zbl 1187.18006
Merkulov, Sergei; Vallette, Bruno
33
2009
Formality of canonical symplectic complexes and Frobenius manifolds. Zbl 0931.58002
Merkulov, S. A.
28
1998
Deformation theory of representations of prop(erad)s. II. Zbl 1191.18003
Merkulov, Sergei; Vallette, Bruno
26
2009
Wheeled PROPs, graph complexes and the master equation. Zbl 1175.18002
Markl, M.; Merkulov, S.; Shadrin, S.
14
2009
Operads, deformation theory and \(F\)-manifolds. Zbl 1075.53094
Merkulov, S. A.
13
2004
On the existence of infinite series of exotic holonomies. Zbl 0866.53013
Chi, Quo-Shin; Merkulov, Sergey A.; Schwachhöfer, Lorenz J.
10
1996
PROP profile of Poisson geometry. Zbl 1106.18006
Merkulov, S. A.
10
2006
De Rham model for string topology. Zbl 1066.55008
Merkulov, S. A.
9
2004
Frobenius\(_\infty\) invariants of homotopy Gerstenhaber algebras. I. Zbl 1021.53062
Merkulov, S. A.
7
2000
The Frobenius properad is Koszul. Zbl 1360.18014
Campos, Ricardo; Merkulov, Sergei; Willwacher, Thomas
7
2016
Simple supergravity, supersymmetric nonlinear gravitons and supertwistor theory. Zbl 0772.53061
Merkulov, S. A.
6
1992
Lectures on props, Poisson geometry and deformation quantization. Zbl 1149.53049
Merkulov, S. A.
6
2008
Paraconformal supermanifolds and non-standard \(\mathcal N\)-extended supergravity models. Zbl 0716.58005
Merkulov, S. A.
6
1991
Exotic holonomies \(E_7^{(\alpha)}\). Zbl 0988.53022
Chi, Quo-Shin; Merkulov, Sergey; Schwachhöfer, Lorenz
5
1997
An \(L_\infty\)-algebra of an unobstructed deformation functor. Zbl 1099.32500
Merkulov, S. A.
5
2000
Nijenhuis infinity and contractible differential graded manifolds. Zbl 1075.18010
Merkulov, S. A.
5
2005
An explicit two step quantization of Poisson structures and Lie bialgebras. Zbl 1404.53106
Merkulov, Sergei; Willwacher, Thomas
5
2018
Graph complexes with loops and wheels. Zbl 1245.53061
Merkulov, S. A.
5
2009
The twistor connection and gauge invariance principle. Zbl 0549.53068
Merkulov, S. A.
5
1984
Quaternionic, quaternionic Kähler, and hyper-Kähler supermanifolds. Zbl 0769.53037
Merkulov, Sergey A.
4
1992
Relative deformation theory and differential geometry. Zbl 0821.32017
Merkulov, Sergey A.
4
1995
Operads, configuration spaces and quantization. Zbl 1267.53097
Merkulov, Sergei A.
4
2011
Wheeled pro(p)file of Batalin-Vilkovisky formalism. Zbl 1228.17019
Merkulov, S. A.
4
2010
Formality theorem for quantizations of Lie bialgebras. Zbl 1395.17037
Merkulov, S. A.
4
2016
Deformation theory of Lie bialgebra properads. Zbl 07085167
Merkulov, Sergei; Willwacher, Thomas
4
2018
Operad of formal homogeneous spaces and Bernoulli numbers. Zbl 1162.18003
Merkulov, Sergei A.
3
2008
Supersymmetric nonlinear graviton. Zbl 0761.53040
Merkulov, S. A.
3
1992
Semisimple Frobenius (super)manifolds and quantum cohomology of \(\mathbb{P}^r\). Zbl 0908.53011
Manin, Yu. I.; Merkulov, S. A.
3
1997
Moduli spaces of compact complex submanifolds of complex fibered manifolds. Zbl 0845.32023
Merkulov, Sergey A.
3
1995
Geometry of Kodaira moduli spaces. Zbl 0852.32010
Merkulov, Sergey A.
3
1996
On quantizable odd Lie bialgebras. Zbl 1405.17046
Khoroshkin, Anton; Merkulov, Sergei; Willwacher, Thomas
3
2016
Projective structures on moduli spaces of compact complex hypersurfaces. Zbl 0861.32014
Merkulov, Sergey; Pedersen, Henrik
2
1997
Existence and geometry of Legendre moduli spaces. Zbl 0904.53047
Merkulov, Sergey A.
2
1997
Twistor transform of vector bundles. Zbl 0972.32016
Huggett, Stephen A.; Merkulov, Sergey A.
2
1999
Grothendieck-Teichmüller and Batalin-Vilkovisky. Zbl 1296.81037
Merkulov, Sergei; Willwacher, Thomas
2
2014
Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex. Zbl 1223.18006
Merkulov, S. A.
2
2011
Wheeled props in algebra, geometry and quantization. Zbl 1207.18010
Merkulov, Sergei A.
2
2010
A note on extended complex manifolds. Zbl 1035.32008
Merkulov, S. A.
2
2003
Grothendieck-Teichmüller group and Poisson cohomologies. Zbl 1344.53075
Alm, Johan; Merkulov, Sergei A.
2
2015
Twistor connection and conformal gravitation. Zbl 0561.53066
Merkulov, S. A.
2
1984
Quantum \(m\times n\)-matrices and \(q\)-deformed Binet-Cauchy formula. Zbl 0771.15014
Merkulov, S. A.
1
1991
On the geometric quantization of bosonic string. Zbl 0768.58021
Merkulov, Sergey A.
1
1992
Topological quantum field theory in quaternionic geometry. Zbl 0818.53044
Merkulov, Sergey; Pedersen, Henrik; Swann, Andrew
1
1994
Twistor solution of the holonomy problem. Zbl 0907.53018
Merkulov, S. A.; Schwachhöfer, L. J.
1
1998
Deformation quantization of the \(n\)-tuple point. Zbl 0935.53039
Merkulov, S. A.
1
1999
The extended moduli space of special Lagrangian submanifolds. Zbl 0959.58010
Merkulov, S. A.
1
2000
Moduli of compact Legendre submanifolds of complex contact manifolds. Zbl 0831.53032
Merkulov, Sergey A.
1
1994
N\(=2\) local supertwistors. Zbl 0646.53081
Merkulov, S. A.
1
1988
Supertwistor connection and conformal supergravity. Zbl 0593.53059
Merkulov, S. A.
1
1985
An explicit two step quantization of Poisson structures and Lie bialgebras. Zbl 1404.53106
Merkulov, Sergei; Willwacher, Thomas
5
2018
Deformation theory of Lie bialgebra properads. Zbl 07085167
Merkulov, Sergei; Willwacher, Thomas
4
2018
The Frobenius properad is Koszul. Zbl 1360.18014
Campos, Ricardo; Merkulov, Sergei; Willwacher, Thomas
7
2016
Formality theorem for quantizations of Lie bialgebras. Zbl 1395.17037
Merkulov, S. A.
4
2016
On quantizable odd Lie bialgebras. Zbl 1405.17046
Khoroshkin, Anton; Merkulov, Sergei; Willwacher, Thomas
3
2016
Grothendieck-Teichmüller group and Poisson cohomologies. Zbl 1344.53075
Alm, Johan; Merkulov, Sergei A.
2
2015
Grothendieck-Teichmüller and Batalin-Vilkovisky. Zbl 1296.81037
Merkulov, Sergei; Willwacher, Thomas
2
2014
Operads, configuration spaces and quantization. Zbl 1267.53097
Merkulov, Sergei A.
4
2011
Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex. Zbl 1223.18006
Merkulov, S. A.
2
2011
Wheeled pro(p)file of Batalin-Vilkovisky formalism. Zbl 1228.17019
Merkulov, S. A.
4
2010
Wheeled props in algebra, geometry and quantization. Zbl 1207.18010
Merkulov, Sergei A.
2
2010
Deformation theory of representations of prop(erad)s I. Zbl 1187.18006
Merkulov, Sergei; Vallette, Bruno
33
2009
Deformation theory of representations of prop(erad)s. II. Zbl 1191.18003
Merkulov, Sergei; Vallette, Bruno
26
2009
Wheeled PROPs, graph complexes and the master equation. Zbl 1175.18002
Markl, M.; Merkulov, S.; Shadrin, S.
14
2009
Graph complexes with loops and wheels. Zbl 1245.53061
Merkulov, S. A.
5
2009
Lectures on props, Poisson geometry and deformation quantization. Zbl 1149.53049
Merkulov, S. A.
6
2008
Operad of formal homogeneous spaces and Bernoulli numbers. Zbl 1162.18003
Merkulov, Sergei A.
3
2008
PROP profile of Poisson geometry. Zbl 1106.18006
Merkulov, S. A.
10
2006
Nijenhuis infinity and contractible differential graded manifolds. Zbl 1075.18010
Merkulov, S. A.
5
2005
Operads, deformation theory and \(F\)-manifolds. Zbl 1075.53094
Merkulov, S. A.
13
2004
De Rham model for string topology. Zbl 1066.55008
Merkulov, S. A.
9
2004
A note on extended complex manifolds. Zbl 1035.32008
Merkulov, S. A.
2
2003
Frobenius\(_\infty\) invariants of homotopy Gerstenhaber algebras. I. Zbl 1021.53062
Merkulov, S. A.
7
2000
An \(L_\infty\)-algebra of an unobstructed deformation functor. Zbl 1099.32500
Merkulov, S. A.
5
2000
The extended moduli space of special Lagrangian submanifolds. Zbl 0959.58010
Merkulov, S. A.
1
2000
Strong homotopy algebras of a Kähler manifold. Zbl 0995.32013
Merkulov, S. A.
61
1999
Classification of irreducible holonomies of torsion-free affine connections. Zbl 0992.53038
Merkulov, Sergei; Schwachhöfer, Lorenz
40
1999
Twistor transform of vector bundles. Zbl 0972.32016
Huggett, Stephen A.; Merkulov, Sergey A.
2
1999
Deformation quantization of the \(n\)-tuple point. Zbl 0935.53039
Merkulov, S. A.
1
1999
Formality of canonical symplectic complexes and Frobenius manifolds. Zbl 0931.58002
Merkulov, S. A.
28
1998
Twistor solution of the holonomy problem. Zbl 0907.53018
Merkulov, S. A.; Schwachhöfer, L. J.
1
1998
Exotic holonomies \(E_7^{(\alpha)}\). Zbl 0988.53022
Chi, Quo-Shin; Merkulov, Sergey; Schwachhöfer, Lorenz
5
1997
Semisimple Frobenius (super)manifolds and quantum cohomology of \(\mathbb{P}^r\). Zbl 0908.53011
Manin, Yu. I.; Merkulov, S. A.
3
1997
Projective structures on moduli spaces of compact complex hypersurfaces. Zbl 0861.32014
Merkulov, Sergey; Pedersen, Henrik
2
1997
Existence and geometry of Legendre moduli spaces. Zbl 0904.53047
Merkulov, Sergey A.
2
1997
On the existence of infinite series of exotic holonomies. Zbl 0866.53013
Chi, Quo-Shin; Merkulov, Sergey A.; Schwachhöfer, Lorenz J.
10
1996
Geometry of Kodaira moduli spaces. Zbl 0852.32010
Merkulov, Sergey A.
3
1996
Relative deformation theory and differential geometry. Zbl 0821.32017
Merkulov, Sergey A.
4
1995
Moduli spaces of compact complex submanifolds of complex fibered manifolds. Zbl 0845.32023
Merkulov, Sergey A.
3
1995
Topological quantum field theory in quaternionic geometry. Zbl 0818.53044
Merkulov, Sergey; Pedersen, Henrik; Swann, Andrew
1
1994
Moduli of compact Legendre submanifolds of complex contact manifolds. Zbl 0831.53032
Merkulov, Sergey A.
1
1994
Simple supergravity, supersymmetric nonlinear gravitons and supertwistor theory. Zbl 0772.53061
Merkulov, S. A.
6
1992
Quaternionic, quaternionic Kähler, and hyper-Kähler supermanifolds. Zbl 0769.53037
Merkulov, Sergey A.
4
1992
Supersymmetric nonlinear graviton. Zbl 0761.53040
Merkulov, S. A.
3
1992
On the geometric quantization of bosonic string. Zbl 0768.58021
Merkulov, Sergey A.
1
1992
Paraconformal supermanifolds and non-standard \(\mathcal N\)-extended supergravity models. Zbl 0716.58005
Merkulov, S. A.
6
1991
Quantum \(m\times n\)-matrices and \(q\)-deformed Binet-Cauchy formula. Zbl 0771.15014
Merkulov, S. A.
1
1991
N\(=2\) local supertwistors. Zbl 0646.53081
Merkulov, S. A.
1
1988
Supertwistor connection and conformal supergravity. Zbl 0593.53059
Merkulov, S. A.
1
1985
The twistor connection and gauge invariance principle. Zbl 0549.53068
Merkulov, S. A.
5
1984
Twistor connection and conformal gravitation. Zbl 0561.53066
Merkulov, S. A.
2
1984
all top 5

Cited by 289 Authors

16 Merkulov, Sergei A.
11 Willwacher, Thomas Hans
6 Armstrong, Stuart
6 Dunajski, Maciej
5 Dolgushev, Vasily A.
5 Dotsenko, Vladimir Viktorovich
5 Galaev, Anton S.
5 Schwachhöfer, Lorenz J.
5 Sheng, Yunhe
5 Tomassini, Adriano
5 Vallette, Bruno
4 Angella, Daniele
4 Buijs, Urtzi
4 Kajiura, Hiroshige
4 Polishchuk, Alexander Evgen’evich
4 Poon, Yat Sun
4 Rogers, Christopher Lee
4 Shadrin, Sergey V.
4 Stasheff, James D.
4 Wolf, Martin
3 Bielawski, Roger
3 Čap, Andreas
3 Cavalcanti, Gil Ramos
3 Chi, Quo-Shin
3 Khoroshkin, Anton
3 Lazarev, Andrey
3 Leistner, Thomas
3 Lu, Di-Ming
3 Markl, Martin
3 Mason, Lionel J.
3 Murillo-Mas, Aniceto
3 Muro, Fernando
3 Tardini, Nicoletta
3 Tradler, Thomas
3 Voronov, Alexander A.
2 Abbaspour, Hossein
2 Bai, Chengming
2 Baraglia, David
2 Bellier-Millès, Joan
2 Cahen, Michel
2 Chuang, Joseph
2 Cleyton, Richard
2 Costello, Kevin Joseph
2 Doubek, Martin
2 Douglas, Michael R.
2 Drummond-Cole, Gabriel C.
2 Fernández Rodríguez, Marisa
2 Grant, James D. E.
2 Gutiérrez, Javier J.
2 He, Jiwei
2 Kaufmann, Ralph M.
2 Krivonosov, Leonid Nikolaevich
2 Kryński, Wojciech
2 Kuribayashi, Katsuhiko
2 Lê Hông Vân
2 Lejmi, Mehdi
2 Luk’yanov, Vyacheslav Anatol’evich
2 McHugh, Andrew Patrick
2 Mnëv, Pavel
2 Muñoz Velázquez, Vicente
2 Robertson, Marcy
2 Sämann, Christian
2 Strachan, Ian A. B.
2 Strohmayer, Henrik
2 Taniguchi, Tadashi
2 Teleman, Constantin
2 Turchin, Victor Éduardovich
2 Vitagliano, Luca
2 Wu, Quanshui S.
2 Yalin, Sinan
2 Zeinalian, Mahmoud
2 Zúñiga, J. Javier
1 Adamo, Tim
1 Alekseev, Anton Yu.
1 Alm, Johan
1 Alt, Jesse
1 Ammar, Faouzi Ben
1 Arone, Gregory Z.
1 Aspinwall, Paul S.
1 Atiyah, Michael Francis
1 Auroux, Denis
1 Ay, Nihat
1 Bai, Chenyu
1 Bandiera, Ruggero
1 Barannikov, Serguei Aleksandrovich
1 Bashkirov, Denis
1 Batanin, Michael A.
1 Baum, Helga
1 Bazzoni, Giovanni
1 Bérard Bergery, Lionel
1 Berger, Clemens
1 Berglund, Alexander
1 Bieliavsky, Pierre
1 Bokan, Neda
1 Bolsinov, Alexey V.
1 Braun, Christopher
1 Bremner, Murray R.
1 Burban, Igor
1 Calamai, Simone
1 Calderbank, David M. J.
...and 189 more Authors
all top 5

Cited in 79 Serials

21 Journal of Geometry and Physics
20 Communications in Mathematical Physics
18 Letters in Mathematical Physics
13 Advances in Mathematics
13 Differential Geometry and its Applications
10 Journal of Homotopy and Related Structures
9 Journal of Mathematical Physics
9 Journal of Pure and Applied Algebra
7 International Journal of Mathematics
5 Annales de l’Institut Fourier
5 Duke Mathematical Journal
5 Journal of Algebra
5 Proceedings of the American Mathematical Society
5 Selecta Mathematica. New Series
5 Algebraic & Geometric Topology
5 Journal of Noncommutative Geometry
4 Journal für die Reine und Angewandte Mathematik
4 Annals of Global Analysis and Geometry
4 Higher Structures
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Nuclear Physics. B
3 Compositio Mathematica
3 Mathematische Zeitschrift
3 Transactions of the American Mathematical Society
3 Applied Categorical Structures
3 Theory and Applications of Categories
3 Algebras and Representation Theory
3 Journal of High Energy Physics
3 International Journal of Geometric Methods in Modern Physics
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Pacific Journal of Mathematics
2 Topology and its Applications
2 Forum Mathematicum
2 The Journal of Geometric Analysis
2 Georgian Mathematical Journal
2 Revista Matemática Complutense
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
2 Journal de l’École Polytechnique – Mathématiques
2 Complex Manifolds
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Archivum Mathematicum
1 Glasgow Mathematical Journal
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the Moscow Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Applied Mathematics. Series B (English Edition)
1 Journal of Mathematical Sciences (New York)
1 Representation Theory
1 Geometry & Topology
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Lobachevskii Journal of Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Advances in Geometry
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Central European Journal of Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Mediterranean Journal of Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Complex Analysis and Operator Theory
1 Frontiers of Mathematics in China
1 Advances in Mathematical Physics
1 Quantum Topology
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Communications in Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Bollettino dell’Unione Matematica Italiana
1 Information Geometry

Citations by Year