Rinat Kashaev

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Alexander polynomial as a universal invariant	2023	Rinat Kashaev
+ PDF Chat	The descendant colored Jones polynomials	2023	Stavros Garoufalidis Rinat Kashaev
+	The Restricted Dual of an Algebra	2023	Rinat Kashaev
+	Applications in Knot Theory	2023	Rinat Kashaev
+	The Quantum Double	2023	Rinat Kashaev
+	Constructions of Algebras, Coalgebras, Bialgebras, and Hopf Algebras	2023	Rinat Kashaev
+	A Course on Hopf Algebras	2023	Rinat Kashaev
+	The Restricted Dual of Hopf Algebras: Examples of Calculations	2023	Rinat Kashaev
+	Groups and Hopf Algebras	2023	Rinat Kashaev
+	Quantum dilogarithms over local fields and invariants of 3-manifolds	2023	Stavros Garoufalidis Rinat Kashaev
+ PDF Chat	On symmetric matrices associated with oriented link diagrams	2021	Rinat Kashaev
+ PDF Chat	Resurgence of Faddeev’s quantum dilogarithm	2021	Stavros Garoufalidis Rinat Kashaev
+	Invariants of Long Knots	2021	Rinat Kashaev
+	The descendant colored Jones polynomials	2021	Stavros Garoufalidis Rinat Kashaev
+ PDF Chat	On the Spectrum of the Local $${\mathbb {P}}^2$$ Mirror Curve	2020	Rinat Kashaev С. М. Сергеев
+ PDF Chat	Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices	2020	Adam Doliwa Rinat Kashaev
+	Canonical Cauchy sequences for real numbers	2020	Rinat Kashaev
+	Resurgence of Faddeev's quantum dilogarithm	2020	Stavros Garoufalidis Rinat Kashaev
+	The Alexander polynomial as a universal invariant	2020	Rinat Kashaev
+ PDF Chat	Generalized Kuperberg invariants of 3–manifolds	2019	Rinat Kashaev Alexis Virelizier
+	Invariants of long knots	2019	Rinat Kashaev
+	THE TEICHMÜLLER TQFT	2019	Jørgen Ellegaard Andersen Rinat Kashaev
+	Invariants of long knots	2019	Rinat Kashaev
+ PDF Chat	A meromorphic extension of the 3D index	2018	Stavros Garoufalidis Rinat Kashaev
+	The Teichm\"uller TQFT	2018	Jørgen Ellegaard Andersen Rinat Kashaev
+ PDF Chat	Spectral Equations for the Modular Oscillator	2018	Rinat Kashaev S. M. Sergeev
+ PDF Chat	Spectral Equations for the Modular Oscillator	2018	Rinat Kashaev С. М. Сергеев
+	A Simple Model of 4d-TQFT	2018	Rinat Kashaev
+	On symmetric matrices associated with oriented link diagrams	2018	Rinat Kashaev
+	The Teichmüller TQFT	2018	Jørgen Ellegaard Andersen Rinat Kashaev
+	A meromorphic extension of the 3D Index	2017	Stavros Garoufalidis Rinat Kashaev
+ PDF Chat	Combinatorics of the Teichmüller TQFT	2017	Rinat Kashaev
+	A dequantized metaplectic knot invariant	2017	Rinat Kashaev
+	From state integrals to $q$-series	2017	Stavros Garoufalidis Rinat Kashaev
+	A meromorphic extension of the 3D Index	2017	Stavros Garoufalidis Rinat Kashaev
+ PDF Chat	The Yang–Baxter relation and gauge invariance	2016	Rinat Kashaev
+ PDF Chat	Matrix Models from Operators and Topological Strings, 2	2016	Rinat Kashaev Marcos Mariño Szabolcs Zakany
+ PDF Chat	Operators from Mirror Curves and the Quantum Dilogarithm	2015	Rinat Kashaev Marcos Mariño
+ PDF Chat	On realizations of Pachner moves in 4d	2015	Rinat Kashaev
+ PDF Chat	A TQFT of Turaev–Viro Type on Shaped Triangulations	2015	Rinat Kashaev Feng Luo G. S. Vartanov
+	On realizations of Pachner moves in 4D	2015	Rinat Kashaev
+	Faddeev’s Quantum Dilogarithm and State-Integrals on Shaped Triangulations	2015	Jørgen Ellegaard Andersen Rinat Kashaev
+ PDF Chat	Evaluation of state integrals at rational points	2015	Stavros Garoufalidis Rinat Kashaev
+	On realizations of Pachner moves in 4D	2015	Rinat Kashaev
+	Evaluation of state integrals at rational points	2014	Stavros Garoufalidis Rinat Kashaev
+	Euler’s Beta Function and Pentagon Relations	2014	Rinat Kashaev
+ PDF Chat	Beta pentagon relations	2014	Rinat Kashaev
+ PDF Chat	A TQFT from Quantum Teichmüller Theory	2014	Jørgen Ellegaard Andersen Rinat Kashaev
+	Penner coordinates for closed surfaces	2014	Rinat Kashaev
+	Complex Quantum Chern-Simons	2014	Jørgen Ellegaard Andersen Rinat Kashaev
+ PDF Chat	Beta pentagon relations	2014	Ринат Мавлявиевич Кашаев Rinat Kashaev
+ PDF Chat	Centrally extended mapping class groups from quantum Teichmuller theory	2014	Louis Funar Rinat Kashaev
+	A simple model of 4d-TQFT	2014	Rinat Kashaev
+	Evaluation of state integrals at rational points	2014	Stavros Garoufalidis Rinat Kashaev
+	Penner coordinates for closed surfaces	2014	Rinat Kashaev
+	Centrally extended mapping class groups from quantum Teichmüller theory	2013	Louis Funar Rinat Kashaev
+	QUANTUM TEICHMÜLLER THEORY AND TQFT	2013	Jørgen Ellegaard Andersen Rinat Kashaev
+	A new formulation of the Teichmüller TQFT	2013	Jørgen Ellegaard Andersen Rinat Kashaev
+	From state integrals to q-series	2013	Stavros Garoufalidis Rinat Kashaev
+	A new formulation of the Teichmüller TQFT	2013	Jørgen Ellegaard Andersen Rinat Kashaev
+	From state integrals to q-series	2013	Stavros Garoufalidis Rinat Kashaev
+	A TQFT of Turaev-Viro type on shaped triangulations	2012	Rinat Kashaev Feng Luo G. S. Vartanov
+ PDF Chat	Discrete Liouville equation and Teichmüller theory	2012	Rinat Kashaev
+ PDF Chat	Tetrahedral forms in monoidal categories and 3-manifold invariants	2012	Nathan Geer Rinat Kashaev Vladimir Turaev
+	A TQFT of Turaev-Viro type on shaped triangulations	2012	Rinat Kashaev Feng Luo G. S. Vartanov
+ PDF Chat	Classical and Quantum Dilogarithm Identities	2011	Rinat Kashaev Tomoki Nakanishi
+	A TQFT from quantum Teichm\"uller theory	2011	Jørgen Ellegaard Andersen Rinat Kashaev
+	Fully noncommutative discrete Liouville equation (Infinite Analysis 2010 Developments in Quantum Integrable Systems)	2011	Rinat Kashaev
+ PDF Chat	𝑅-matrix knot invariants and triangulations	2011	Rinat Kashaev
+	A TQFT from quantum Teichmüller theory	2011	Jørgen Ellegaard Andersen Rinat Kashaev
+	Tetrahedral forms in monoidal categories and 3-manifold invariants	2010	Nathan Geer Rinat Kashaev Vladimir Turaev
+ PDF Chat	Δ-groupoids in knot theory	2010	Rinat Kashaev
+	Delta-groupoids and ideal triangulations	2010	Rinat Kashaev
+	R-matrix knot invariants and triangulations	2010	Rinat Kashaev
+	Tetrahedral forms in monoidal categories and 3-manifold invariants	2010	Nathan Geer Rinat Kashaev Vladimir Turaev
+	Fully noncommutative discrete Liouville equation	2010	Rinat Kashaev
+	Delta-groupoids in knot theory	2009	Rinat Kashaev
+	Delta-groupoids and ideal triangulations	2009	Rinat Kashaev
+	Discrete Liouville equation and Teichm	2008	Rinat Kashaev
+	A finite-dimensional TQFT for three-manifolds based on group PSL(2, C) and cross-ratios	2008	Rinat Kashaev I. G. Korepanov Evgeniy Martyushev
+	Discrete Liouville equation and Teichmüller theory	2008	Rinat Kashaev
+	On the asymptotic expansion of the colored Jones polynomial for torus knots	2007	Jérôme Dubois Rinat Kashaev
+ PDF Chat	On quantum moduli space of flat PSL2(ℝ)-connections on a punctured surface	2007	Rinat Kashaev
+	On quantum moduli space of flat PSL₂(ℝ)-connections on a punctured surface	2007	Rinat Kashaev
+	On ring-valued invariants of topological pairs	2007	Rinat Kashaev
+	Symmetrically factorizable groups and self-theoretical solutions of the pentagon equation	2007	Rinat Kashaev Nicolai Reshetikhin
+ PDF Chat	On selfadjoint extensions of some difference operator	2006	Rinat Kashaev
+ PDF Chat	Braiding for quantum 𝑔𝑙₂ at roots of unity	2005	Rinat Kashaev Nicolai Reshetikhin
+ PDF Chat	Coordinates for the moduli space of flat $PSL(2,\mathbb{R})$-connections	2005	Rinat Kashaev
+	Invariants of tangles with flat connections in their complements	2005	Rinat Kashaev Nicolai Reshetikhin
+	On the asymptotic expansion of the colored Jones polynomial for torus knots	2005	Jérôme Dubois Rinat Kashaev
+	Problems on invariants of knots and 3-manifolds	2004	Jørgen Ellegaard Andersen Nikos Askitas Dror Bar-Natan Stéphane Baseilhac Riccardo Benedetti Stephen Bigelow Michel Boileau R. Bott J. S. Carter Florian Deloup
+	The q-binomial formula and the Rogers dilogarithm identity	2004	Rinat Kashaev
+	Problems on invariants of knots and 3-manifolds	2004	Jørgen Ellegaard Andersen Nikos Askitas Dror Bar-Natan Stéphane Baseilhac Riccardo Benedetti Stephen Bigelow Michel Boileau R. Bott J. S. Carter Florian Deloup
+	Braiding for the quantum gl_2 at roots of unity	2004	Rinat Kashaev Nicolai Reshetikhin
+	None	2003	Rinat Kashaev Olav Tirkkonen
+	Coordinates for the moduli space of flat PSL(2,R)-connections	2003	Rinat Kashaev
+ PDF Chat	Strongly coupled quantum discrete Liouville theory: II. Geometric interpretation of the evolution operator	2002	Людвиг Дмитриевич Фаддеев Rinat Kashaev
+	Invariants of links with flat connections in their complements.II. Holonomy R-matrices related to quantized universal enveloping algebras at roots of 1	2002	Rinat Kashaev Nicolai Reshetikhin
+	Invariants of tangles with flat connections in their complements.I. Invariants and holonomy R-matrices	2002	Rinat Kashaev Nicolai Reshetikhin
+ PDF Chat	Strongly Coupled Quantum Discrete Liouville Theory.¶I: Algebraic Approach and Duality	2001	L. D. Faddeev Rinat Kashaev A. Yu. Volkov
+ PDF Chat	ON THE SPECTRUM OF DEHN TWISTS IN QUANTUM TEICHMÜLLER THEORY	2001	Rinat Kashaev
+	The Quantum Dilogarithm and Dehn Twists in Quantum TeichmÜller Theory	2001	Rinat Kashaev
+	None	2001	Rinat Kashaev
+	Symmetrically Factorizable Groups and Set-Theoretical Solutions of the Pentagon Equation	2001	Rinat Kashaev Nicolai Reshetikhin
+ PDF Chat	From the tetrahedron equation to universal 𝑅-matrices	2000	Rinat Kashaev A. Yu. Volkov
+	The Pentagon equation and mapping-class groups of punctured surfaces	2000	Rinat Kashaev
+ PDF Chat	Уравнение пятиугольника и группы классов отображений поверхностей с отмеченными точками	2000	Ринат Мавлявиевич Кашаев Rinat Kashaev Ринат Мавлявиевич Кашаев Rinat Kashaev
+	On matrix generalizations of the dilogarithm	1999	Rinat Kashaev
+	Local Yang-Baxter relations associated with Hirota's discrete equation	1999	Rinat Kashaev
+ PDF Chat	О матричных обобщениях дилогарифма	1999	Ринат Мавлявиевич Кашаев Rinat Kashaev
+	Proof of the volume conjecture for torus knots	1999	Rinat Kashaev Olav Tirkkonen
+ PDF Chat	Functional tetrahedron equation	1998	Rinat Kashaev I. G. Korepanov С. М. Сергеев
+ PDF Chat	On Pentagon, Ten-Term, and Tetrahedron Relations	1998	Rinat Kashaev С. М. Сергеев
+	From the Tetrahedron Equation to Universal R-Matrices	1998	Rinat Kashaev A. Yu. Volkov
+	None	1998	Rinat Kashaev
+ PDF Chat	An invariant of triangulated links from the quantum dilogarithm	1998	Rinat Kashaev
+	Liouville central charge in quantum Teichmuller theory	1998	Rinat Kashaev
+ PDF Chat	Функциональное уравнение тетраэдров	1998	Ринат Мавлявиевич Кашаев Rinat Kashaev I. G. Korepanov I. G. Korepanov S. M. Sergeev S. M. Sergeev
+ PDF Chat	Affine Toda Field Theory as a 3-Dimensional Integrable System	1997	Rinat Kashaev Nicolai Reshetikhin
+	None	1997	Rinat Kashaev
+	Quantization of Teichmüller spaces and the quantum dilogarithm	1997	Rinat Kashaev
+ PDF Chat	On discrete three-dimensional equations associated with the local Yang-Baxter relation	1996	Rinat Kashaev
+	On pentagon, ten-term, and tetrahedron relations	1996	Rinat Kashaev S. M. Sergeev
+	The hyperbolic volume of knots from quantum dilogarithm	1996	Rinat Kashaev
+	On pentagon, ten-term, and tetrahedron relations	1996	Rinat Kashaev С. М. Сергеев
+ PDF Chat	A LINK INVARIANT FROM QUANTUM DILOGARITHM	1995	Rinat Kashaev
+ PDF Chat	Generalized Bethe ansatz equations for Hofstadter problem	1995	L. D. Faddeev Rinat Kashaev
+	Heisenberg Double and Pentagon Relation	1995	Rinat Kashaev
+	Heisenberg Double and Pentagon Relation	1995	Rinat Kashaev
+ PDF Chat	QUANTUM DILOGARITHM AS A 6j-SYMBOL	1994	Rinat Kashaev
+ PDF Chat	QUANTUM DILOGARITHM	1994	L. D. Faddeev Rinat Kashaev
+ PDF Chat	GENERALIZED YANG-BAXTER EQUATION	1993	Rinat Kashaev Yu. G. Stroganov
+	STAR-SQUARE AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL	1993	Rinat Kashaev Vladimir V. Mangazeev Yu. G. Stroganov
+	SPATIAL SYMMETRY, LOCAL INTEGRABILITY AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL	1993	Rinat Kashaev Vladimir V. Mangazeev Yu. G. Stroganov
+	Cyclic L operators connected with U-q(sl(n)) algebra and related integrable models	1993	Rinat Kashaev Vladimir V. Mangazeev
+	N<sup>n(n–1)/2</sup>-STATE INTERTWINER RELATED TO <font>U</font><sub>q</sub>(<font>sl</font>(n)) ALGEBRA AT q<sup>2N</sup>=1	1992	Rinat Kashaev Vladimir V. Mangazeev
+	N<sup>3</sup>-STATE R-MATRIX RELATED WITH U<sub>q</sub>(sl(3)) ALGEBRA AT q<sup>2N</sup>=1	1992	Rinat Kashaev Vladimir V. Mangazeev Yu. G. Stroganov
+	CYCLIC EIGHT-STATE R-MATRIX RELATED TO U<sub>q</sub>(<font>sl</font>(3)) ALGEBRA AT q<sup>2</sup> = -1	1991	Rinat Kashaev Vladimir V. Mangazeev Yu. G. Stroganov
+	Yang-Baxter equation for the sl(n) chiral potts model	1991	Rinat Kashaev Vladimir V. Mangazeev Tomoki Nakanishi
+	(Z N×) n−1 generalization of the chiral Potts model	1991	Vladimir V. Bazhanov Rinat Kashaev Vladimir V. Mangazeev Yu. G. Stroganov
+ PDF Chat	CyclicL-operator related with a 3-stateR-matrix	1991	Vladimir V. Bazhanov Rinat Kashaev
+	The four-state solution of the Yang-Baxter equation	1990	Rinat Kashaev Vladimir V. Mangazeev
+	The gauge fixing extension of the Krichever-Novikov algebra in the closed string theory	1989	Rinat Kashaev A. A. Osipov
+	ON NONLINEAR EQUATIONS ASSOCIATED WITH LIE ALGEBRAS OF DIFFEOMORPHISM GROUPS OF TWO-DIMENSIONAL MANIFOLDS	1989	Rinat Kashaev S.A. Saveleva M. V. Savel'ev A. M. Vershik
+	Extension of the Krichever-Novikov algebra in the closed string theory	1988	Rinat Kashaev A. A. Osipov

Common Coauthors

Coauthor	Papers Together
Stavros Garoufalidis	16
Jørgen Ellegaard Andersen	13
Vladimir V. Mangazeev	9
Nicolai Reshetikhin	8
S. M. Sergeev	8
Yu. G. Stroganov	6
Vladimir Turaev	5
Ринат Мавлявиевич Кашаев	4
Feng Luo	3
A. Yu. Volkov	3
G. S. Vartanov	3
Nathan Geer	3
I. G. Korepanov	3
L. D. Faddeev	3
Michael Polyak	2
Thang T. Q. Lê	2
Vaughan F. R. Jones	2
Roger Fenn	2
Vladimir V. Bazhanov	2
Ami Haviv	2
Lev Rozansky	2
Tomotada Ohtsuki	2
Riccardo Benedetti	2
Marcos Mariño	2
Andrew Kricker	2
Myeong–Ju Jeong	2
J. S. Carter	2
Louis Funar	2
Dror Bar-Natan	2
Yaichi Shinohara	2
Oleg Viro	2
Stephen Bigelow	2
Thomas Kerler	2
Yasuyuki Kawahigashi	2
Emmanuel Ferrand	2
Florian Deloup	2
H. R. Morton	2
Toshio Harikae	2
Nobuya Sato	2
Jun Murakami	2
C. Y. Park	2
Stéphane Baseilhac	2
Dylan P. Thurston	2
Józef H. Przytycki	2
Brian Sanderson	2
A. Stoimenow	2
Enore Guadagnini	2
Mark E. Kidwell	2
Mikhail Goussarov	2
Theodore Stanford	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Discrete Heisenberg-Weyl Group and modular group	1995	L. D. Faddeev	31
+	None	1998	Rinat Kashaev	24
+	None	1997	Rinat Kashaev	20
+ PDF Chat	QUANTUM DILOGARITHM	1994	L. D. Faddeev Rinat Kashaev	20
+ PDF Chat	QUANTUM DILOGARITHM AS A 6j-SYMBOL	1994	Rinat Kashaev	16
+ PDF Chat	Strongly Coupled Quantum Discrete Liouville Theory.¶I: Algebraic Approach and Duality	2001	L. D. Faddeev Rinat Kashaev A. Yu. Volkov	15
+	State sum invariants of 3-manifolds and quantum 6j-symbols	1992	Vladimir G. Turaev Oleg Viro	14
+ PDF Chat	A LINK INVARIANT FROM QUANTUM DILOGARITHM	1995	Rinat Kashaev	12
+	STAR-SQUARE AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL	1993	Rinat Kashaev Vladimir V. Mangazeev Yu. G. Stroganov	11
+ PDF Chat	Exact results for perturbative Chern–Simons theory with complex gauge group	2009	Tudor Dimofte Sergei Gukov Jonatan Lenells Don Zagier	10
+ PDF Chat	A quantum Teichmüller space	1999	V. V. Fock Leonid Chekhov	10
+	Ribbon graphs and their invaraints derived from quantum groups	1990	Nicolai Reshetikhin Vladimir G. Turaev	10
+ PDF Chat	Star-triangle relation for a three-dimensional model	1993	Vladimir V. Bazhanov R. J. Baxter	10
+ PDF Chat	QUANTUM EXPONENTIAL FUNCTION	2000	S. L. Woronowicz	10
+ PDF Chat	Noncommutative Hypergeometry	2005	Alexandre Yu. Volkov	9
+	Quantum Invariants of Knots and 3-Manifolds	1994	Vladimir G. Turaev	8
+	Chiral Potts model as a descendant of the six-vertex model	1990	Vladimir V. Bazhanov Yu. G. Stroganov	7
+	Complex Quantum Chern-Simons	2014	Jørgen Ellegaard Andersen Rinat Kashaev	7
+	A new formulation of the Teichmüller TQFT	2013	Jørgen Ellegaard Andersen Rinat Kashaev	7
+	Partition function of the Eight-Vertex lattice model	1972	R. J. Baxter	7
+	New solvable lattice models in three dimensions	1992	Vladimir V. Bazhanov R. J. Baxter	7
+ PDF Chat	The colored Jones polynomials and the simplicial volume of a knot	2001	Hitoshi Murakami Jun Murakami	7
+	Algebraic topology	2001	Allen Hatcher	7
+	Invariants of 3-manifolds via link polynomials and quantum groups	1991	Nicolai Reshetikhin Vladimir G. Turaev	7
+	A TQFT from quantum Teichm\"uller theory	2011	Jørgen Ellegaard Andersen Rinat Kashaev	7
+	Current-Like Variables in Massive and Massless Integrable Models	1994	Lyudvig Dmitrievich Faddeev	7
+	Remarks on the quantum dilogarithm	1995	Vladimir V. Bazhanov Nicolai Reshetikhin	7
+	On the Melvin-Morton-Rozansky conjecture	1996	Dror Bar-Natan Stavros Garoufalidis	6
+ PDF Chat	Quantum field theory and the Jones polynomial	1989	Edward Witten	6
+ PDF Chat	Hyperbolicity of partition function and quantum gravity	2001	Kazuhiro Hikami	6
+ PDF Chat	ON THE SPECTRUM OF DEHN TWISTS IN QUANTUM TEICHMÜLLER THEORY	2001	Rinat Kashaev	6
+	Generalized volume conjecture and the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si26.gif" display="inline" overflow="scroll"><mml:mi>A</mml:mi></mml:math>-polynomials: The Neumann–Zagier potential function as a classical limit of the partition function	2007	Kazuhiro Hikami	6
+	Quantum Groups	1994	Christian Kassel	6
+	The decorated Teichm�ller space of punctured surfaces	1987	Robert Penner	6
+	A new formulation of the Teichmüller TQFT	2013	Jørgen Ellegaard Andersen Rinat Kashaev	6
+ PDF Chat	A TQFT from Quantum Teichmüller Theory	2014	Jørgen Ellegaard Andersen Rinat Kashaev	6
+ PDF Chat	On Pentagon, Ten-Term, and Tetrahedron Relations	1998	Rinat Kashaev С. М. Сергеев	6
+ PDF Chat	On discrete three-dimensional equations associated with the local Yang-Baxter relation	1996	Rinat Kashaev	6
+	Quantum Invariants of Knots and 3-Manifolds	2010	Vladimir G. Turaev	6
+	Volumes of hyperbolic three-manifolds	1985	Walter D. Neumann Don Zagier	5
+ PDF Chat	The quantum content of the gluing equations	2013	Tudor Dimofte Stavros Garoufalidis	5
+	Algebraic integrable dynamical systems, 2+1-dimensional models in wholly discrete space-time, and inhomogeneous models in 2-dimensional statistical physics	1995	I. G. Korepanov	5
+ PDF Chat	Gauge Theories Labelled by Three-Manifolds	2013	Tudor Dimofte Davide Gaiotto Sergei Gukov	5
+	New solutions of the star-triangle relations for the chiral potts model	1988	R. J. Baxter Jacques H. H. Perk Helen Au-Yang	5
+	On the elliptic beta function	2001	V. P. Spiridonov	5
+	Commuting transfer matrices for the four-state self-dual chiral Potts model with a genus-three uniformizing fermat curve	1987	Barry M. McCoy Jacques H. H. Perk Shuang Tang Chih-Han Sah	5
+	Liouville central charge in quantum Teichmuller theory	1998	Rinat Kashaev	5
+	Commuting transfer matrices in the chiral Potts models: Solutions of star-triangle equations with genus>1	1987	Helen Au-Yang Barry M. McCoy Jacques H. H. Perk Shuang Tang Mu-Lin Yan	5
+	Discrete Liouville equation and Teichmüller theory	2008	Rinat Kashaev	5
+ PDF Chat	Hirota equation as an example of an integrable symplectic map	1994	L. D. Faddeev A. Yu. Volkov	5