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 Documents Indexed: 23 Publications since 1990
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Co-Authors

 2 single-authored 9 Goncharov, Alexander Borisovich 4 Chekhov, Leonid O. 3 Marshakov, Andrey 3 Rosly, A. A. 1 Gorskiĭ, Aleksandr Sergeevich 1 Kogan, Yan I. 1 Nekrasov, Nikita Alexandrovich 1 Rubtsov, Vladimir Nikolaevich
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Serials

 2 Theoretical and Mathematical Physics 2 Advances in Mathematics 2 Nuclear Physics, B, Proceedings Supplements 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Selecta Mathematica. New Series 1 Journal of High Energy Physics 1 Czechoslovak Journal of Physics
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Fields

 11 Differential geometry (53-XX) 9 Quantum theory (81-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Algebraic geometry (14-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Topological groups, Lie groups (22-XX) 4 Nonassociative rings and algebras (17-XX) 4 Relativity and gravitational theory (83-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

21 Publications have been cited 764 times in 492 Documents Cited by Year
Moduli spaces of local systems and higher Teichmüller theory. Zbl 1099.14025
2006
Cluster ensembles, quantization and the dilogarithm. Zbl 1180.53081
Fock, Vladimir V.; Goncharov, Alexander B.
2009
Poisson structure on moduli of flat connections on Riemann surfaces and the $$r$$-matrix. Zbl 0945.53050
Fock, V. V.; Rosly, A. A.
1999
A quantum Teichmüller space. Zbl 0986.32007
Fock, V. V.; Chekhov, L. O.
1999
The quantum dilogarithm and representations of quantum cluster varieties. Zbl 1183.14037
Fock, V. V.; Goncharov, A. B.
2009
Dual Teichmüller and lamination spaces. Zbl 1162.32009
Fock, Vladimir V.; Goncharov, Alexander B.
2007
Duality in integrable systems and gauge theories. Zbl 0965.81025
2000
Cluster $$\chi$$-varieties, amalgamation, and Poisson-Lie groups. Zbl 1162.22014
Fock, V. V.; Goncharov, A. B.
2006
Cluster ensembles, quantization and the dilogarithm. II: The intertwiner. Zbl 1225.53070
Fock, V. V.; Goncharov, A. B.
2009
Moduli spaces of convex projective structures on surfaces. Zbl 1111.32013
Fock, V. V.; Goncharov, A. B.
2007
Observables in 3D gravity and geodesic algebras. Zbl 1087.81510
Chekhov, L. O.; Fock, V. V.
2000
Flat connections and polyubles. Zbl 0849.58030
Fock, V. V.; Rosly, A. A.
1993
Loop groups, clusters, dimers and integrable systems. Zbl 1417.37248
2016
Cluster Poisson varieties at infinity. Zbl 1383.14018
Fock, V. V.; Goncharov, A. B.
2016
A note on quantum groups and relativistic Toda theory. Zbl 0957.37516
Fock, V.; Marshakov, A.
1997
A note on quantum groups and relativistic Toda theory. Zbl 0925.58029
Fock, V.; Marshakov, A.
1997
Quantum mapping class group, pentagon relation, and geodesics. Zbl 0983.32021
Fock, V. V.; Chekhov, L. O.
1999
Moduli space of flat connections as a Poisson manifold. Zbl 1229.58012
Fock, V. V.; Rosly, A. A.
1997
Symplectic double for moduli spaces of $$G$$-local systems on surfaces. Zbl 1351.53092
Fock, V. V.; Goncharov, A. B.
2016
Generating function for $$2$$d WZW model correlators and the Sugawara construction from the $$2+1$$ Chern-Simons theory. Zbl 1020.81704
Fock, V. V.; Kogan, Yan I.
1990
Cosh-Gordon equation and quasi-Fuchsian groups. Zbl 1133.83007
Fock, V. V.
2007
Loop groups, clusters, dimers and integrable systems. Zbl 1417.37248
2016
Cluster Poisson varieties at infinity. Zbl 1383.14018
Fock, V. V.; Goncharov, A. B.
2016
Symplectic double for moduli spaces of $$G$$-local systems on surfaces. Zbl 1351.53092
Fock, V. V.; Goncharov, A. B.
2016
Cluster ensembles, quantization and the dilogarithm. Zbl 1180.53081
Fock, Vladimir V.; Goncharov, Alexander B.
2009
The quantum dilogarithm and representations of quantum cluster varieties. Zbl 1183.14037
Fock, V. V.; Goncharov, A. B.
2009
Cluster ensembles, quantization and the dilogarithm. II: The intertwiner. Zbl 1225.53070
Fock, V. V.; Goncharov, A. B.
2009
Dual Teichmüller and lamination spaces. Zbl 1162.32009
Fock, Vladimir V.; Goncharov, Alexander B.
2007
Moduli spaces of convex projective structures on surfaces. Zbl 1111.32013
Fock, V. V.; Goncharov, A. B.
2007
Cosh-Gordon equation and quasi-Fuchsian groups. Zbl 1133.83007
Fock, V. V.
2007
Moduli spaces of local systems and higher Teichmüller theory. Zbl 1099.14025
2006
Cluster $$\chi$$-varieties, amalgamation, and Poisson-Lie groups. Zbl 1162.22014
Fock, V. V.; Goncharov, A. B.
2006
Duality in integrable systems and gauge theories. Zbl 0965.81025
2000
Observables in 3D gravity and geodesic algebras. Zbl 1087.81510
Chekhov, L. O.; Fock, V. V.
2000
Poisson structure on moduli of flat connections on Riemann surfaces and the $$r$$-matrix. Zbl 0945.53050
Fock, V. V.; Rosly, A. A.
1999
A quantum Teichmüller space. Zbl 0986.32007
Fock, V. V.; Chekhov, L. O.
1999
Quantum mapping class group, pentagon relation, and geodesics. Zbl 0983.32021
Fock, V. V.; Chekhov, L. O.
1999
A note on quantum groups and relativistic Toda theory. Zbl 0957.37516
Fock, V.; Marshakov, A.
1997
A note on quantum groups and relativistic Toda theory. Zbl 0925.58029
Fock, V.; Marshakov, A.
1997
Moduli space of flat connections as a Poisson manifold. Zbl 1229.58012
Fock, V. V.; Rosly, A. A.
1997
Flat connections and polyubles. Zbl 0849.58030
Fock, V. V.; Rosly, A. A.
1993
Generating function for $$2$$d WZW model correlators and the Sugawara construction from the $$2+1$$ Chern-Simons theory. Zbl 1020.81704
Fock, V. V.; Kogan, Yan I.
1990
all top 5

Cited by 522 Authors

 13 Schiffler, Ralf 9 Ip, Ivan Chi-Ho 9 Morozov, Alexei Yurievich 9 Neitzke, Andrew 8 Canakci, Ilke 8 Chekhov, Leonid O. 8 Goncharov, Alexander Borisovich 8 Labourie, François 8 Mironov, Andrei D. 8 Wienhard, Anna Katharina 7 Allegretti, Dylan Gregory Lucasi 7 Bonahon, Francis 7 Fock, Vladimir V. 7 Kim, Hyun Kyu 6 Alekseev, Anton Yu. 6 Gorskiĭ, Aleksandr Sergeevich 6 Hikami, Kazuhiro 6 Inoue, Rei 6 Mandel, Travis 6 Williams, Harold 6 Yamazaki, Masahito 5 Dimofte, Tudor Dan 5 Felikson, Anna Aleksandrovna 5 Gaiotto, Davide 5 McLeod, Andrew J. 5 Meusburger, Catherine 5 Musiker, Gregg 5 Nekrasov, Nikita Alexandrovich 5 Shapiro, Michael Z. 5 Shen, Linhui 5 Williams, Lauren K. 5 Wong, Helen M. 4 Braden, Harry W. 4 Fehér, László Gy. 4 Fomin, Sergey Vladimirovich 4 Gabella, Maxime 4 Guichard, Olivier 4 Kashaev, Rinat M. 4 Keller, Bernhard 4 Le, Ian 4 Lee, Kyungyong 4 Mazzocco, Marta 4 Morozov, Andreĭ Alekseevich 4 Ovsienko, Valentin Yu. 4 Pylyavskyy, Pavlo 4 Reading, Nathan 4 Schwartz, Richard Evan 4 Spradlin, Marcus 4 Tabachnikov, Serge L. 4 Teschner, Jörg 4 Tumarkin, Pavel 4 Yakimov, Milen T. 4 Zhang, Tengren 4 Zickert, Christian K. 3 Anokhina, A. S. 3 Berenstein, Arkady 3 Boalch, Philip P. 3 Bucher, Eric 3 Chalykh, Oleg A. 3 Cirafici, Michele 3 Collier, Brian 3 Danciger, Jeffrey 3 Fairon, Maxime 3 Falbel, Elisha 3 Fei, Jiarui 3 Fraser, Chris 3 García-Prada, Oscar 3 Garoufalidis, Stavros 3 Gukov, Sergei 3 Gyoda, Yasuaki 3 Ishibashi, Tsukasa 3 Kenyon, Richard W. 3 Kim, Inkang 3 Klimčík, Ctirad 3 Lampe, Philipp 3 Le, Thang Tu Quoc 3 Liu, Xiaobo 3 Mariño, Marcos 3 Moore, Gregory Winthrop 3 Nakanishi, Tomoki 3 Roche, Philippe 3 Stella, Salvatore 3 Thurston, Dylan Paul 3 Vainshtein, Alek 3 Zelevinskiĭ, Andreĭ V. 3 Zenkevich, Yegor 3 Zotov, Andrei V. 2 Aminov, G. A. 2 Andersen, Jørgen Ellegaard 2 Arroyo, Marta Aparicio 2 Awata, Hidetoshi 2 Bai, Hua 2 Bonelli, Giulio 2 Bossinger, Lara 2 Bourjaily, Jacob L. 2 Bradlow, Steven B. 2 Bridgeland, Tom 2 Bridgeman, Martin J. 2 Buffenoir, E. 2 Canary, Richard D. ...and 422 more Authors
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Cited in 112 Serials

 50 Journal of High Energy Physics 38 Advances in Mathematics 37 Communications in Mathematical Physics 18 Selecta Mathematica. New Series 17 Geometriae Dedicata 15 Letters in Mathematical Physics 13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Duke Mathematical Journal 11 Compositio Mathematica 10 Nuclear Physics. B 10 Theoretical and Mathematical Physics 10 Journal of Geometry and Physics 10 Algebraic & Geometric Topology 9 Inventiones Mathematicae 9 Mathematische Zeitschrift 9 Transactions of the American Mathematical Society 9 Annales Henri Poincaré 8 Journal of Algebraic Combinatorics 8 Geometry & Topology 6 Journal of Mathematical Physics 5 Proceedings of the National Academy of Sciences of the United States of America 4 Journal of Algebra 4 Journal of Combinatorial Theory. Series A 4 Geometric and Functional Analysis. GAFA 4 Bulletin of the American Mathematical Society. New Series 4 Algebras and Representation Theory 4 Annals of Mathematics. Second Series 4 Journal of the European Mathematical Society (JEMS) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Quantum Topology 3 Russian Mathematical Surveys 3 Functional Analysis and its Applications 3 Journal of Pure and Applied Algebra 3 Nagoya Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Ergodic Theory and Dynamical Systems 3 Journal of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Annals of Combinatorics 3 Living Reviews in Relativity 3 Forum of Mathematics, Sigma 3 Arnold Mathematical Journal 2 International Journal of Modern Physics B 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annales de l’Institut Fourier 2 Publications Mathématiques 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Experimental Mathematics 2 St. Petersburg Mathematical Journal 2 Documenta Mathematica 2 Representation Theory 2 Oberwolfach Reports 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Advances in High Energy Physics 2 Algebraic Combinatorics 1 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 The Annals of Probability 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Topology and its Applications 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Indagationes Mathematicae. New Series 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal de Théorie des Nombres de Bordeaux 1 The Electronic Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 Séminaire Lotharingien de Combinatoire 1 Transformation Groups 1 Mathematical Physics, Analysis and Geometry 1 Regular and Chaotic Dynamics 1 Acta Mathematica Sinica. English Series 1 Journal of the Institute of Mathematics of Jussieu 1 Innovations in Incidence Geometry ...and 12 more Serials
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Cited in 39 Fields

 139 Commutative algebra (13-XX) 133 Quantum theory (81-XX) 98 Manifolds and cell complexes (57-XX) 89 Algebraic geometry (14-XX) 85 Differential geometry (53-XX) 73 Nonassociative rings and algebras (17-XX) 63 Several complex variables and analytic spaces (32-XX) 61 Associative rings and algebras (16-XX) 58 Group theory and generalizations (20-XX) 53 Functions of a complex variable (30-XX) 52 Dynamical systems and ergodic theory (37-XX) 49 Combinatorics (05-XX) 30 Relativity and gravitational theory (83-XX) 25 Global analysis, analysis on manifolds (58-XX) 24 Mechanics of particles and systems (70-XX) 22 Topological groups, Lie groups (22-XX) 20 Geometry (51-XX) 19 Category theory; homological algebra (18-XX) 18 Convex and discrete geometry (52-XX) 12 Special functions (33-XX) 11 Ordinary differential equations (34-XX) 9 Number theory (11-XX) 9 Difference and functional equations (39-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)