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Korepanov Igor Germanovich

Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 25
Presentations: 5

Number of views:
This page:659
Abstract pages:3821
Full texts:1159
References:425
Professor
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person18636
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/262342

Publications in Math-Net.Ru
1. Parameterizing the Simplest Grassmann–Gaussian Relations for Pachner Move 3–3
Igor G. Korepanov, Nurlan M. Sadykov
SIGMA, 9 (2013), 053
2. Pentagon Relations in Direct Sums and Grassmann Algebras
Igor G. Korepanov, Nurlan M. Sadykov
SIGMA, 9 (2013), 030
3. Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves
Igor G. Korepanov
SIGMA, 7 (2011), 117
4. A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
Jérôme Dubois, Igor G. Korepanov, Evgeniy V. Martyushev
SIGMA, 6 (2010), 032
5. A matrix solution of the pentagon equation with anticommuting variables
S. I. Bel'kov, I. G. Korepanov
TMF, 163:3 (2010),  513–528
6. Geometric torsions and an Atiyah-style topological field theory
I. G. Korepanov
TMF, 158:3 (2009),  405–418
7. Geometric torsions and invariants of manifolds with a triangulated boundary
I. G. Korepanov
TMF, 158:1 (2009),  98–114
8. Geometry of Euclidean tetrahedra and knot invariants
I. G. Korepanov
Fundam. Prikl. Mat., 11:4 (2005),  105–117
9. Pachner Move $3\to 3$ and Affine Volume-Preserving Geometry in $\mathbb R^3$
Igor G. Korepanov
SIGMA, 1 (2005), 021
10. Exact solutions and mixing in an algebraic dynamical system
I. G. Korepanov
TMF, 143:1 (2005),  131–149
11. $SL(2)$-Solution of the Pentagon Equation and Invariants of Three-Dimensional Manifolds
I. G. Korepanov
TMF, 138:1 (2004),  23–34
12. Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: III. Moves $1\leftrightarrow5$ and Related Structures
I. G. Korepanov
TMF, 135:2 (2003),  179–195
13. Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: II. An Algebraic Complex and Moves $2\leftrightarrow 4$
I. G. Korepanov
TMF, 133:1 (2002),  24–35
14. Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: I. Moves $3\to 3$.
I. G. Korepanov
TMF, 131:3 (2002),  377–388
15. A Classical Solution of the Pentagon Equation Related to the Group $SL(2)$
I. G. Korepanov, E. V. Martyushev
TMF, 129:1 (2001),  14–19
16. Multidimensional analogues of the geometric $s\leftrightarrow t$ duality
I. G. Korepanov
TMF, 124:1 (2000),  169–176
17. Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation
I. G. Korepanov, S. Saito
TMF, 120:1 (1999),  54–63
18. Fundamental mathematical structures of integrable models
I. G. Korepanov
TMF, 118:3 (1999),  405–412
19. Functional tetrahedron equation
R. M. Kashaev, I. G. Korepanov, S. M. Sergeev
TMF, 117:3 (1998),  370–384
20. Vacuum curves and classical integrable systems in $2+1$ discrete dimensions
I. G. Korepanov
Zap. Nauchn. Sem. POMI, 235 (1996),  273–286
21. A dynamical system connected with the inhomogeneous six-vertex model. II. Evolution of orthogonal and symplectic matrices: An algebraic-geometric description
I. G. Korepanov
Zap. Nauchn. Sem. POMI, 224 (1995),  225–239
22. Vacuum curves of $\mathcal L$-operators associated with the six-vertex model
I. G. Korepanov
Algebra i Analiz, 6:2 (1994),  176–194
23. A dynamical system connected with inhomogeneous $6$-vertex model
I. G. Korepanov
Zap. Nauchn. Sem. POMI, 215 (1994),  178–196
24. Latent symmetries in the six-vertex model of statistical physics
I. G. Korepanov
Zap. Nauchn. Sem. POMI, 215 (1994),  163–177
25. Tetrahedron equation and the algebraic geometry
I. G. Korepanov
Zap. Nauchn. Sem. POMI, 209 (1994),  137–149

Presentations in Math-Net.Ru
1. Необыкновенное кручение на кусочно-линейных 4-многообразиях
I. G. Korepanov
Knots and Representation Theory
May 31, 2016 18:30
2. Функциональное уравнение тетраэдров и родственные ему математические структуры: обзор истории и современного состояния
I. G. Korepanov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
August 1, 2012 14:00
3. Деформации кручений экзотических цепных комплексов
I. G. Korepanov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
March 14, 2012 18:30
4. Конечномерная ТКТП на кусочно-линейных шаровых комплексах: теория и вычисления
I. G. Korepanov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
March 30, 2011 18:30
5. Кручения геометрических ациклических комплексов и конечномерная топологическая квантовая теория поля
I. G. Korepanov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
June 25, 2008

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