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Korepanov, Igor Germanovich

Author ID: korepanov.igor-g Recent zbMATH articles by "Korepanov, Igor Germanovich"
Published as: Korepanov, I. G.; Korepanov, Igor G.; Korepanov, Igor
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

Publications by Year

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 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

Citations by Year