Edit Profile (opens in new tab) Korepanov, Igor Germanovich Co-Author Distance Author ID: korepanov.igor-g Published as: Korepanov, I. G.; Korepanov, Igor G.; Korepanov, Igor more...less External Links: ResearchGate · Math-Net.Ru Documents Indexed: 77 Publications since 1993, including 34 Additional arXiv Preprints Reviewing Activity: 15 Reviews Co-Authors: 11 Co-Authors with 17 Joint Publications 213 Co-Co-Authors all top 5 Co-Authors 60 single-authored 5 Martyushev, Evgeniy V. 3 Sadykov, Nurlan M. 3 Sergeev, Sergeĭ Mikhaĭlovich 3 Sharygin, Georgy I. 3 Talalaev, Dmitry V. 2 Bel’kov, S. I. 2 Kashaev, Rinat M. 1 Dimakis, Aristophanes 1 Dubois, Jérôme 1 Maillard, Jean-Marie 1 Saito, Satoru all top 5 Serials 13 Theoretical and Mathematical Physics 6 Journal of Mathematical Sciences (New York) 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Zapiski Nauchnykh Seminarov POMI 3 Journal of Nonlinear Mathematical Physics 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 St. Petersburg Mathematical Journal 2 Advances in Applied Clifford Algebras 1 Communications in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematics all top 5 Fields 28 Manifolds and cell complexes (57-XX) 19 Quantum theory (81-XX) 18 Statistical mechanics, structure of matter (82-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Algebraic geometry (14-XX) 4 Field theory and polynomials (12-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Partial differential equations (35-XX) 2 Algebraic topology (55-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 162 times in 78 Documents Cited by ▼ Year ▼ Functional tetrahedron equation. Zbl 0941.82018 Kashaev, R. M.; Korepanov, I. G.; Sergeev, S. M. 36 1998 Tetrahedral Zamolodchikov algebras corresponding to Baxter’s \(L\)- operators. Zbl 0773.35059 Korepanov, I. G. 19 1993 Cohomologies of \(n\)-simplex relations. Zbl 1371.16038 Korepanov, Igor G.; Sharygin, Georgy I.; Talalaev, Dmitry V. 13 2016 Invariants of PL manifolds from metrized simplicial complexes. Three-dimensional case. Zbl 0986.57008 Korepanov, Igor G. 6 2001 Euclidean 4-simplices and invariants of four-dimensional manifolds. I: Moves \(3\to 3\). Zbl 1042.57011 Korepanov, I. G. 6 2002 Two-cocycles give a full nonlinear parameterization of the simplest 3–3 relation. Zbl 1327.15057 Korepanov, Igor G. 6 2014 Parameterizing the simplest Grassmann-Gaussian relations for Pachner move 3-3. Zbl 1288.15033 Korepanov, Igor G.; Sadykov, Nurlan M. 6 2013 Euclidean 4-simplices and invariants of four-dimensional manifolds: III. Moves \(1\to 5\) and related structures. Zbl 1178.57012 Korepanov, I. G. 5 2003 Euclidean 4-simplices and invariants of four-dimensional manifolds: II. An algebraic complex and moves \(2\leftrightarrow 4\). Zbl 1083.57020 Korepanov, I. G. 5 2002 Tetrahedron equation and the algebraic geometry. Zbl 0848.17010 Korepanov, I. G. 5 1994 A dynamical system connected with inhomogeneous 6-vertex model. Zbl 0869.58028 Korepanov, I. G. 4 1994 Hidden symmetries in a 6-vertex model of statistical physics. Zbl 0907.58059 Korepanov, I. G. 4 1994 Grassmannian-parameterized solutions to direct-sum polygon and simplex equations. Zbl 1481.16044 Dimakis, Aristophanes; Korepanov, Igor G. 4 2021 Classical limit for a 3D lattice spin model. Zbl 1053.82502 Korepanov, I. G.; Maillard, J.-M.; Sergeev, S. M. 3 1997 Geometric torsions and invariants of manifolds with a triangulated boundary. Zbl 1173.81019 Korepanov, I. G. 3 2009 Geometric torsions and an Atiyah-style topological field theory. Zbl 1175.81172 Korepanov, I. G. 3 2009 Nonconstant hexagon relations and their cohomology. Zbl 1475.57042 Korepanov, Igor G. 3 2021 Pentagon relations in direct sums and Grassmann algebras. Zbl 1270.15017 Korepanov, Igor G.; Sadykov, Nurlan M. 3 2013 A Euclidean geometric invariant of framed (Un)Knots in manifolds. Zbl 1200.57009 Dubois, Jérôme; Korepanov, Igor G.; Martyushev, Evgeniy V. 2 2010 Finite-dimensional analogues of the string \(s\leftrightarrow t\) duality and the pentagon equation. Zbl 0966.81050 Korepanov, I. G.; Saito, S. 2 1999 \(SL(2)\)-solution of the pentagon equation and invariants of three-dimensional manifolds. Zbl 1178.57011 Korepanov, I. G. 2 2004 Distinguishing three-dimensional lens spaces \(L(7,1)\) and \(L(7,2)\) by means of the classical pentagon equation. Zbl 1017.57008 Korepanov, I. G.; Martyushev, E. V. 2 2002 A classical solution of the pentagon equation related to the group \(SL(2)\). Zbl 1033.57006 Korepanov, I. G.; Martyushev, E. V. 2 2001 Latent symmetries in a six-vertex model of statistical physics. Zbl 0869.58048 Korepanov, I. G. 2 1994 A dynamical system connected with an inhomogeneous 6-vertex model. Zbl 0907.58028 Korepanov, I. G. 2 1994 Relations in Grassmann algebra corresponding to three- and four-dimensional Pachner moves. Zbl 1243.15012 Korepanov, Igor G. 2 2011 Free fermions on a piecewise linear four-manifold. II: Pachner moves. Zbl 1409.57025 Korepanov, I. G. 2 2017 Multiplicative expression for the coefficient in fermionic 3-3 relation. Zbl 1343.57014 Korepanov, Igor 2 2016 Free fermions on a piecewise linear four-manifold. I: Exotic chain complex. Zbl 1391.15081 Korepanov, I. G. 2 2017 Fundamental mathematical structures of integrable models. Zbl 0957.82011 Korepanov, I. G. 1 1999 Multidimensional analogues of the geometric \(s\leftrightarrow t\) duality. Zbl 1032.81560 Korepanov, I. G. 1 2000 Pachner move \(3\to 3\) and affine volume-preserving geometry in \(\mathbb R^ 3\). Zbl 1101.57011 Korepanov, Igor G. 1 2005 A dynamical system connnected with the inhomogeneous six-vertex model. II: Evolution of orthogonal and symplectic matrices: An algebraic-geometric description. Zbl 0970.37046 Korepanov, I. G. 1 1995 Geometry of Euclidean tetrahedra and knot invariants. Zbl 1151.57009 Korepanov, I. G. 1 2007 Integrable 3D statistical models on six-valent graphs. Zbl 1434.82018 Korepanov, I. G.; Talalaev, D. V.; Sharygin, G. I. 1 2018 Grassmannian-parameterized solutions to direct-sum polygon and simplex equations. Zbl 1481.16044 Dimakis, Aristophanes; Korepanov, Igor G. 4 2021 Nonconstant hexagon relations and their cohomology. Zbl 1475.57042 Korepanov, Igor G. 3 2021 Integrable 3D statistical models on six-valent graphs. Zbl 1434.82018 Korepanov, I. G.; Talalaev, D. V.; Sharygin, G. I. 1 2018 Free fermions on a piecewise linear four-manifold. II: Pachner moves. Zbl 1409.57025 Korepanov, I. G. 2 2017 Free fermions on a piecewise linear four-manifold. I: Exotic chain complex. Zbl 1391.15081 Korepanov, I. G. 2 2017 Cohomologies of \(n\)-simplex relations. Zbl 1371.16038 Korepanov, Igor G.; Sharygin, Georgy I.; Talalaev, Dmitry V. 13 2016 Multiplicative expression for the coefficient in fermionic 3-3 relation. Zbl 1343.57014 Korepanov, Igor 2 2016 Two-cocycles give a full nonlinear parameterization of the simplest 3–3 relation. Zbl 1327.15057 Korepanov, Igor G. 6 2014 Parameterizing the simplest Grassmann-Gaussian relations for Pachner move 3-3. Zbl 1288.15033 Korepanov, Igor G.; Sadykov, Nurlan M. 6 2013 Pentagon relations in direct sums and Grassmann algebras. Zbl 1270.15017 Korepanov, Igor G.; Sadykov, Nurlan M. 3 2013 Relations in Grassmann algebra corresponding to three- and four-dimensional Pachner moves. Zbl 1243.15012 Korepanov, Igor G. 2 2011 A Euclidean geometric invariant of framed (Un)Knots in manifolds. Zbl 1200.57009 Dubois, Jérôme; Korepanov, Igor G.; Martyushev, Evgeniy V. 2 2010 Geometric torsions and invariants of manifolds with a triangulated boundary. Zbl 1173.81019 Korepanov, I. G. 3 2009 Geometric torsions and an Atiyah-style topological field theory. Zbl 1175.81172 Korepanov, I. G. 3 2009 Geometry of Euclidean tetrahedra and knot invariants. Zbl 1151.57009 Korepanov, I. G. 1 2007 Pachner move \(3\to 3\) and affine volume-preserving geometry in \(\mathbb R^ 3\). Zbl 1101.57011 Korepanov, Igor G. 1 2005 \(SL(2)\)-solution of the pentagon equation and invariants of three-dimensional manifolds. Zbl 1178.57011 Korepanov, I. G. 2 2004 Euclidean 4-simplices and invariants of four-dimensional manifolds: III. Moves \(1\to 5\) and related structures. Zbl 1178.57012 Korepanov, I. G. 5 2003 Euclidean 4-simplices and invariants of four-dimensional manifolds. I: Moves \(3\to 3\). Zbl 1042.57011 Korepanov, I. G. 6 2002 Euclidean 4-simplices and invariants of four-dimensional manifolds: II. An algebraic complex and moves \(2\leftrightarrow 4\). Zbl 1083.57020 Korepanov, I. G. 5 2002 Distinguishing three-dimensional lens spaces \(L(7,1)\) and \(L(7,2)\) by means of the classical pentagon equation. Zbl 1017.57008 Korepanov, I. G.; Martyushev, E. V. 2 2002 Invariants of PL manifolds from metrized simplicial complexes. Three-dimensional case. Zbl 0986.57008 Korepanov, Igor G. 6 2001 A classical solution of the pentagon equation related to the group \(SL(2)\). Zbl 1033.57006 Korepanov, I. G.; Martyushev, E. V. 2 2001 Multidimensional analogues of the geometric \(s\leftrightarrow t\) duality. Zbl 1032.81560 Korepanov, I. G. 1 2000 Finite-dimensional analogues of the string \(s\leftrightarrow t\) duality and the pentagon equation. Zbl 0966.81050 Korepanov, I. G.; Saito, S. 2 1999 Fundamental mathematical structures of integrable models. Zbl 0957.82011 Korepanov, I. G. 1 1999 Functional tetrahedron equation. Zbl 0941.82018 Kashaev, R. M.; Korepanov, I. G.; Sergeev, S. M. 36 1998 Classical limit for a 3D lattice spin model. Zbl 1053.82502 Korepanov, I. G.; Maillard, J.-M.; Sergeev, S. M. 3 1997 A dynamical system connnected with the inhomogeneous six-vertex model. II: Evolution of orthogonal and symplectic matrices: An algebraic-geometric description. Zbl 0970.37046 Korepanov, I. G. 1 1995 Tetrahedron equation and the algebraic geometry. Zbl 0848.17010 Korepanov, I. G. 5 1994 A dynamical system connected with inhomogeneous 6-vertex model. Zbl 0869.58028 Korepanov, I. G. 4 1994 Hidden symmetries in a 6-vertex model of statistical physics. Zbl 0907.58059 Korepanov, I. G. 4 1994 Latent symmetries in a six-vertex model of statistical physics. Zbl 0869.58048 Korepanov, I. G. 2 1994 A dynamical system connected with an inhomogeneous 6-vertex model. Zbl 0907.58028 Korepanov, I. G. 2 1994 Tetrahedral Zamolodchikov algebras corresponding to Baxter’s \(L\)- operators. Zbl 0773.35059 Korepanov, I. G. 19 1993 all cited Publications top 5 cited Publications all top 5 Cited by 76 Authors 20 Korepanov, Igor Germanovich 9 Konstantinou-Rizos, Sotiris 6 Kassotakis, Pavlos G. 6 Talalaev, Dmitry V. 5 Sergeev, Sergeĭ Mikhaĭlovich 4 Igonin, Sergeĭ Aleksandrovich 4 Kashaev, Rinat M. 3 Dimakis, Aristophanes 3 Nieszporski, Maciej 2 Bazhanov, Vladimir V. 2 Dittrich, Bianca 2 Doliwa, Adam 2 Kuniba, Atsuo 2 Mangazeev, Vladimir V. 2 Müller-Hoissen, Folkert 2 Preobrazhenskaia, M. M. 2 Saito, Satoru 2 Sharygin, Georgy I. 2 Yoneyama, Akihito 1 Adler, Vsevolod Eduardovich 1 Asante, Seth K. 1 Baratin, Aristide 1 Bel’kov, S. I. 1 Bobenko, Alexander Ivanovich 1 Borissova, Johanna N. 1 Bukhshtaber, Viktor Matveevich 1 Bychkov, Boris Sergeevich 1 Chen, Chi-Ning 1 de Leeuw, Marius 1 Elhamdadi, Mohamed 1 Fiedler, Thomas 1 Freidel, Laurent 1 Gavrylenko, Pavlo 1 Girelli, Florian 1 Gorbounov, Vassily 1 Hietarinta, Jarmo 1 Hou, Boyu 1 Hu, Chinkun 1 Hu, Zhanning 1 Iorgov, N. Z. 1 Kazakov, Anton 1 Kouloukas, Theodoros E. 1 Kulish, Petr Petrovich 1 Ling, Eric 1 Luo, Feng 1 Maassarani, Ziad 1 Manturov, Vassiliĭ Olegovich 1 March, Norman H. 1 Martyushev, Evgeniy V. 1 Matsuike, Shuichiro 1 Mitev, Vladimir 1 Nijhoff, Frank W. 1 Okada, Yuichiro 1 Paletta, Chiara 1 Papageorgiou, Vassilios G. 1 Papamikos, Georgios A. 1 Pribytok, Anton 1 Retore, Ana L. 1 Riello, Aldo 1 Sadykov, Nurlan M. 1 Semenyakin, Mykola 1 Shadura, V. N. 1 Staudacher, Matthias 1 Stroganov, Yu. G. 1 Suris, Yuri Borisovich 1 Tongas, Anastasios G. 1 Torrielli, Alessandro 1 Tsimiklis, Panagiotis 1 Tsuboi, Zengo 1 Tykhyy, Yu. V. 1 Vartanov, Grigory S. 1 Wan, Zheyan 1 Wu, Fa Yueh 1 Zappala, Emanuele 1 Zenkevich, Yegor 1 Zhang, Zhidong all top 5 Cited in 31 Serials 11 Theoretical and Mathematical Physics 10 Journal of Physics A: Mathematical and Theoretical 5 Journal of Mathematical Physics 4 Letters in Mathematical Physics 4 Nuclear Physics. B 3 Communications in Mathematical Physics 3 Journal of Knot Theory and its Ramifications 3 Journal of Mathematical Sciences (New York) 3 Journal of High Energy Physics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 International Journal of Modern Physics B 2 Journal of Statistical Physics 2 Physics Letters. B 2 Journal of Geometry and Physics 2 Functional Analysis and its Applications 2 Physica D 2 Advances in Applied Clifford Algebras 2 Journal of Nonlinear Mathematical Physics 1 Classical and Quantum Gravity 1 General Relativity and Gravitation 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Physics Letters. A 1 St. Petersburg Mathematical Journal 1 Journal of Mathematical Chemistry 1 Mathematical Physics, Analysis and Geometry 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Journal of Statistical Mechanics: Theory and Experiment 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematics all top 5 Cited in 28 Fields 32 Quantum theory (81-XX) 25 Associative rings and algebras (16-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Statistical mechanics, structure of matter (82-XX) 13 Manifolds and cell complexes (57-XX) 12 Difference and functional equations (39-XX) 10 Partial differential equations (35-XX) 6 Algebraic geometry (14-XX) 6 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 4 Relativity and gravitational theory (83-XX) 3 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 2 Category theory; homological algebra (18-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year