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Takhtajan, Leon Armenovich

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Author ID: takhtajan.leon-a Recent zbMATH articles by "Takhtajan, Leon Armenovich"
Published as: Takhtadzhyan, L. A.; Takhtajan, Leon A.; Takhtajan, L. A.; Takhtajan, Leon; Takhtadzhan, L. A.; Tahtadzjan, L. A.; Takhtadzhyan, L.; Takhtajan, L.
Homepage: http://www.math.stonybrook.edu/~leontak/
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Documents Indexed: 113 Publications since 1973, including 10 Books

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 2,139 times in 1,832 Documents Cited by Year
Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. Zbl 1111.37001
Faddeev, Ludwig D.; Takhtajan, Leon A.
285
2007
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
260
1990
On foundation of the generalized Nambu mechanics. Zbl 0808.70015
Takhtajan, Leon
189
1994
Quantum inverse problem method. I. Zbl 1138.37331
Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D.
164
1980
The spectral theory of a functional-difference operator in conformal field theory. Zbl 1327.39013
Takhtajan, L. A.; Faddeev, L. D.
143
2015
Hamiltonian methods in the theory of solitons. (Гамил’тонов подход в теории солитонов.) Zbl 0632.58003
Takhtadzhyan, L. A.; Faddeev, L. D.
119
1986
Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Zbl 0632.58004
Faddeev, L. D.; Takhtadzhyan, L. A.
67
1987
Weil-Petersson metric on the universal Teichmüller space. Zbl 1243.32010
Takhtajan, Leon A.; Teo, Lee-Peng
65
2006
Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0532.47009
Faddeev, L. D.; Takhtadzhyan, L. A.
55
1984
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
51
1989
Leibniz and Lie algebra structures for Nambu algebra. Zbl 0869.58024
Daletskii, Yuri L.; Takhtajan, Leon A.
49
1997
On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces. Zbl 0663.32017
Zograf, P. G.; Takhtadzhyan, L. A.
35
1988
A self-dual Yang-Mills hierarchy and its reductions to integrable systems in \(1+1\) and \(2+1\) dimensions. Zbl 0795.58027
Ablowitz, Mark J.; Chakravarty, Sarbarish; Takhtajan, Leon A.
34
1993
Quantum mechanics for mathematicians. Zbl 1156.81004
Takhtajan, Leon A.
32
2008
A local index theorem for families of \({\bar \partial}\)-operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaces. Zbl 0725.58043
Takhtadzhyan, L. A.; Zograf, P. G.
30
1991
Essentially nonlinear one-dimensional model of classical field theory. Zbl 0299.35063
Tahtadzjan, L. A.; Faddeev, L. D.
30
1975
Deformation quantization and Nambu mechanics. Zbl 0877.70012
Dito, G.; Flato, M.; Sternheimer, D.; Takhtajan, L.
28
1997
Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography. Zbl 1065.30046
Takhtajan, Leon A.; Teo, Lee-Peng
25
2003
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
24
1974
Hyperbolic \(2\)-spheres with conical singularities, accessory parameters and Kähler metrics on \({\mathcal{M}}_{0,n}\). Zbl 1075.32006
Takhtajan, Leon; Zograf, Peter
22
2003
On Liouville’s equation, accessory parameters, and the geometry of Teichmüller space for Riemann surfaces of genus 0. Zbl 0655.32022
Zograf, P. G.; Takhtadzhyan, L. A.
22
1988
The quantum inverse problem method. I. Zbl 0449.35096
Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A.
19
1979
Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula. Zbl 1110.58026
McIntyre, A.; Takhtajan, L. A.
18
2006
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
17
2000
Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves. Zbl 1361.47004
Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A.
17
2016
Aspects of classical and quantum Nambu mechanics. Zbl 0861.70018
Chatterjee, Rupak; Takhtajan, Leon
14
1996
Topics in the quantum geometry of Riemann surfaces: Two-dimensional quantum gravity. Zbl 0919.17022
Takhtajan, L. A.
14
1996
Free bosons and tau-functions for compact Riemann surfaces and closed smooth Jordan curves. Current correlation functions. Zbl 1072.14521
Takhtajan, Leon A.
13
2001
The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0471.47009
Takhtadzhyan, L. A.; Faddeev, L. D.
12
1981
The zeta-function of the additive divisor problem and the spectral expansion of the automorphic Laplacian. Zbl 0536.10025
Vinogradov, A. I.; Takhtadzhyan, L. A.
12
1984
Theory of Eisenstein series for the group SL(3,R) and its application to a binary problem. Zbl 0476.10024
Vinogradov, A. I.; Takhtadzhyan, L. A.
11
1982
Theory of Eisenstein series for the group \(\mathrm{SL}(3,\mathbb{R})\) and its application to a binary problem. I: Fourier expansion of the highest Eisenstein series. Zbl 0434.10020
Vinogradov, A. I.; Takhtadzhyan, L. A.
11
1978
Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100
Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A.
11
1986
On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces. Zbl 0642.32011
Zograf, P. G.; Takhtadzhyan, L. A.
11
1987
Liouville theory: Quantum geometry of Riemann surfaces. Zbl 1021.81891
Takhtajan, Leon A.
10
1993
Elementary introduction to quantum groups. Zbl 0820.17013
Takhtajan, L. A.
10
1993
A local index theorem for families of \(\overline{\partial}\)-operators on Riemann surfaces. Zbl 0659.58043
Zograf, P. G.; Takhtadzhyan, L. A.
10
1987
The Selberg zeta function and a new Kähler metric on the moduli space of punctured Riemann surfaces. Zbl 0739.30032
Takhtadzhyan, L. A.; Zograf, P. G.
9
1988
Poisson structure for the KdV equation. Zbl 0595.35093
Faddeev, L. D.; Takhtadzhan, L. A.
9
1985
On Liouville equations, accessory parameters, and the geometry of Teichmüller spaces for Riemann surfaces of genus 0. Zbl 0642.32010
Zograf, P. G.; Takhtadzhyan, L. A.
9
1987
Noncommutative homology of quantum tori. Zbl 0708.19003
Takhtadzhyan, L. A.
8
1989
On Bott-Chern forms and their applications. Zbl 1303.32014
Pingali, Vamsi P.; Takhtajan, Leon A.
8
2014
A local index theorem for families of \({\bar \partial}\)-operators on Riemann surfaces. Zbl 0699.58061
Zograf, P. G.; Takhtadzhyan, L. A.
8
1987
Equivalence of geometric \(h<1/2\) and standard \(c>25\) approaches to two-dimensional quantum gravity. Zbl 1022.81750
Takhtajan, Leon A.
7
1996
The first Chern form on moduli of parabolic bundles. Zbl 1156.14028
Takhtajan, Leon A.; Zograf, Peter
7
2008
Quantum Liouville theory in the background field formalism. I: Compact Riemann surfaces. Zbl 1114.32007
Takhtajan, Leon A.; Teo, Lee-Peng
6
2006
Semi-classical Liouville theory, complex geometry of moduli spaces, and uniformization of Riemann surfaces. Zbl 1221.32006
Takhtajan, Leon
6
1992
On the Linnik-Skubenko asymptotics. Zbl 0488.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
6
1980
On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0689.53037
Zograf, P. G.; Takhtadzhyan, L. A.
6
1989
Local index theorem for orbifold Riemann surfaces. Zbl 1417.58024
Takhtajan, Leon A.; Zograf, Peter
6
2019
On analogues of the Vinogradov-Gauss formula. Zbl 0468.10022
Vinogradov, A. I.; Takhtadzhyan, L. A.
5
1980
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0468.10023
Takhtadzhyan, L. A.; Vinogradov, A. I.
5
1981
Modular forms as \(\tau\)-functions for certain integrable reductions of the Yang-Mills equations. Zbl 0814.35110
Takhtajan, Leon A.
5
1993
The Hamiltonian system connected with the equation u//(xi,nu)+sin u=0. Zbl 0412.35065
Takhtadzhyan, L. A.; Faddeev, L. D.
5
1976
Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces. Zbl 1353.14044
Park, Jinsung; Takhtajan, Leon A.; Teo, Lee-Peng
5
2017
Generating functional in CFT and effective action for two-dimensional quantum gravity on higher genus Riemann surfaces. Zbl 0998.81097
Aldrovandi, Ettore; Takhtajan, Leon A.
5
1997
Action of the Liouville equation is a generating function for the accessory parameters and the potential of the Weil-Petersson metric on the Teichmüller space. Zbl 0612.32018
Zograf, P. G.; Takhtadzhyan, L. A.
5
1985
Liouville theory: Ward identities for generating functional and modular geometry. Zbl 1021.81892
Takhtajan, Leon A.
4
1994
Introduction to quantum groups. Zbl 0735.17009
Takhtadzhyan, L. A.
4
1990
A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of \(n\)-gebras. Zbl 0833.17021
Takhtajan, L. A.
4
1994
Self-dual Yang-Mills equation and new special functions in integrable systems. Zbl 0941.37542
Chakravarty, S.; Ablowitz, M. J.; Takhtajan, L. A.
4
1992
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0534.10039
Vinogradov, A. I.; Takhtadzhyan, L. A.
4
1984
Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles. Zbl 0689.30035
Takhtajan, L. A.
4
1989
Spectrum of the density matrix of a large block of spins of the \(XY\) model in one dimension. Zbl 1216.81027
Franchini, F.; Its, A. R.; Korepin, V. E.; Takhtajan, L. A.
3
2011
On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0715.53048
Zograf, P. G.; Takhtadzhyan, L. A.
3
1990
Scientific heritage of L. D. Faddeev. Survey of papers. Zbl 1396.81008
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L.
3
2017
The quantum inverse problem method and the XYZ Heisenberg model. Zbl 1194.81247
Takhtajan, Leon A.
3
1981
Solutions of the triangle equations with \({\mathbb{Z}}_ n\times {\mathbb{Z}}_ n\)-symmetry and matrix analogues of the Weierstrass zeta- and sigma- functions. Zbl 0542.15003
Takhtadzhyan, L. A.
3
1984
Analogs of the Vinogradov-Gauss formula in the critical strip. Zbl 0483.12002
Vinogradov, A. I.; Takhtadzhyan, L. A.
2
1981
The Gauss-Hasse hypothesis on real quadratic fields with class number one. Zbl 0497.12004
Takhtadzhan, L. A.; Vinogradov, A. I.
2
1982
Stable, multi-state, time-reversible cellular automata with rich particle content. Zbl 0787.58022
Ablowitz, M. J.; Keiser, J. M.; Takhtadzhyan, L. A.
2
1992
Generating functional in CFT on Riemann surfaces II: Homological aspects. Zbl 1024.81036
Aldrovandi, Ettore; Takhtajan, Leon A.
2
2002
Weil-Petersson geometry of the universal Teichmüller space. Zbl 1142.32300
Takhtajan, Leon A.; Teo, Lee-Peng
2
2005
Simple connection between the geometric and the Hamiltonian representations of integrable nonlinear equations. Zbl 0562.35088
Takhtadzhyan, L. A.; Faddeev, L. D.
2
1985
Integrable models in classical and quantum field theory. Zbl 0569.47010
Takhtajan, L. A.
2
1984
The zeta-function of the additive divisor problem and spectral decomposition of the automorphic Laplacian. Zbl 0609.10023
Vinogradov, A. I.; Takhtadzhyan, L. A.
2
1987
Quantum field theories on an algebraic curve. Zbl 1024.81016
Takhtajan, Leon A.
1
2000
Quantum groups. Zbl 0716.17010
Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L.
1
1989
A simple connection between geometric and Hamiltonian representations of integrable nonlinear equations. Zbl 0505.35082
Takhtadzhyan, L. A.; Faddeev, L. D.
1
1982
Potential of the Weil-Petersson metric on the Torelli space. Zbl 0900.32007
Zograf, P. G.; Takhtadzhyan, L. A.
1
1987
Integrable cellular automata and AKNS hierarchy. Zbl 0860.35117
Takhtajan, Leon A.
1
1996
A simple example of modular forms as tau-functions for integrable equations. Zbl 0794.35114
Takhtadzhyan, L. A.
1
1992
Hamiltonian systems connected with the Dirac equation. Zbl 0404.35087
Tahtadzjan, L. A.
1
1977
Asymptotic formula for the sum of the lengths of the periods of the quadratic irrationalities of discriminant D. Zbl 0442.10007
Takhtadzhyan, L. A.
1
1979
Ludwig Faddeev memorial volume. A life in mathematical physics. Zbl 1398.81011
Ge, Mo-Lin (ed.); Niemi, Antti J. (ed.); Phua, Kok Khoo (ed.); Takhtajan, Leon A. (ed.)
1
2018
An estimate of the residue of Rankin L-series. Zbl 0516.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1982
Analogues of the Vinogradov-Gauss formula in the critical strip. Zbl 0523.12011
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1983
The potential of the Weil-Petersson metric on Torelli space. Zbl 0631.32020
Zograf, P. G.; Takhtadzhyan, L. A.
1
1987
Weyl asymptotics for perturbed functional difference operators. Zbl 1427.81063
Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A.
1
2019
Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030
Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L.
1
2014
Explicit computation of the Chern character forms. Zbl 1355.32016
Takhtajan, Leon A.
1
2016
Local index theorem for orbifold Riemann surfaces. Zbl 1417.58024
Takhtajan, Leon A.; Zograf, Peter
6
2019
Weyl asymptotics for perturbed functional difference operators. Zbl 1427.81063
Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A.
1
2019
Ludwig Faddeev memorial volume. A life in mathematical physics. Zbl 1398.81011
Ge, Mo-Lin; Niemi, Antti J.; Phua, Kok Khoo; Takhtajan, Leon A.
1
2018
Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces. Zbl 1353.14044
Park, Jinsung; Takhtajan, Leon A.; Teo, Lee-Peng
5
2017
Scientific heritage of L. D. Faddeev. Survey of papers. Zbl 1396.81008
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref&rsquo;eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L.
3
2017
Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves. Zbl 1361.47004
Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A.
17
2016
Explicit computation of the Chern character forms. Zbl 1355.32016
Takhtajan, Leon A.
1
2016
The spectral theory of a functional-difference operator in conformal field theory. Zbl 1327.39013
Takhtajan, L. A.; Faddeev, L. D.
143
2015
On Bott-Chern forms and their applications. Zbl 1303.32014
Pingali, Vamsi P.; Takhtajan, Leon A.
8
2014
Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030
Aref&rsquo;eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L.
1
2014
Spectrum of the density matrix of a large block of spins of the \(XY\) model in one dimension. Zbl 1216.81027
Franchini, F.; Its, A. R.; Korepin, V. E.; Takhtajan, L. A.
3
2011
Quantum mechanics for mathematicians. Zbl 1156.81004
Takhtajan, Leon A.
32
2008
The first Chern form on moduli of parabolic bundles. Zbl 1156.14028
Takhtajan, Leon A.; Zograf, Peter
7
2008
Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. Zbl 1111.37001
Faddeev, Ludwig D.; Takhtajan, Leon A.
285
2007
Weil-Petersson metric on the universal Teichmüller space. Zbl 1243.32010
Takhtajan, Leon A.; Teo, Lee-Peng
65
2006
Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula. Zbl 1110.58026
McIntyre, A.; Takhtajan, L. A.
18
2006
Quantum Liouville theory in the background field formalism. I: Compact Riemann surfaces. Zbl 1114.32007
Takhtajan, Leon A.; Teo, Lee-Peng
6
2006
Weil-Petersson geometry of the universal Teichmüller space. Zbl 1142.32300
Takhtajan, Leon A.; Teo, Lee-Peng
2
2005
Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography. Zbl 1065.30046
Takhtajan, Leon A.; Teo, Lee-Peng
25
2003
Hyperbolic \(2\)-spheres with conical singularities, accessory parameters and Kähler metrics on \({\mathcal{M}}_{0,n}\). Zbl 1075.32006
Takhtajan, Leon; Zograf, Peter
22
2003
Generating functional in CFT on Riemann surfaces II: Homological aspects. Zbl 1024.81036
Aldrovandi, Ettore; Takhtajan, Leon A.
2
2002
Free bosons and tau-functions for compact Riemann surfaces and closed smooth Jordan curves. Current correlation functions. Zbl 1072.14521
Takhtajan, Leon A.
13
2001
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
17
2000
Quantum field theories on an algebraic curve. Zbl 1024.81016
Takhtajan, Leon A.
1
2000
Leibniz and Lie algebra structures for Nambu algebra. Zbl 0869.58024
Daletskii, Yuri L.; Takhtajan, Leon A.
49
1997
Deformation quantization and Nambu mechanics. Zbl 0877.70012
Dito, G.; Flato, M.; Sternheimer, D.; Takhtajan, L.
28
1997
Generating functional in CFT and effective action for two-dimensional quantum gravity on higher genus Riemann surfaces. Zbl 0998.81097
Aldrovandi, Ettore; Takhtajan, Leon A.
5
1997
Aspects of classical and quantum Nambu mechanics. Zbl 0861.70018
Chatterjee, Rupak; Takhtajan, Leon
14
1996
Topics in the quantum geometry of Riemann surfaces: Two-dimensional quantum gravity. Zbl 0919.17022
Takhtajan, L. A.
14
1996
Equivalence of geometric \(h<1/2\) and standard \(c>25\) approaches to two-dimensional quantum gravity. Zbl 1022.81750
Takhtajan, Leon A.
7
1996
Integrable cellular automata and AKNS hierarchy. Zbl 0860.35117
Takhtajan, Leon A.
1
1996
On foundation of the generalized Nambu mechanics. Zbl 0808.70015
Takhtajan, Leon
189
1994
Liouville theory: Ward identities for generating functional and modular geometry. Zbl 1021.81892
Takhtajan, Leon A.
4
1994
A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of \(n\)-gebras. Zbl 0833.17021
Takhtajan, L. A.
4
1994
A self-dual Yang-Mills hierarchy and its reductions to integrable systems in \(1+1\) and \(2+1\) dimensions. Zbl 0795.58027
Ablowitz, Mark J.; Chakravarty, Sarbarish; Takhtajan, Leon A.
34
1993
Liouville theory: Quantum geometry of Riemann surfaces. Zbl 1021.81891
Takhtajan, Leon A.
10
1993
Elementary introduction to quantum groups. Zbl 0820.17013
Takhtajan, L. A.
10
1993
Modular forms as \(\tau\)-functions for certain integrable reductions of the Yang-Mills equations. Zbl 0814.35110
Takhtajan, Leon A.
5
1993
Semi-classical Liouville theory, complex geometry of moduli spaces, and uniformization of Riemann surfaces. Zbl 1221.32006
Takhtajan, Leon
6
1992
Self-dual Yang-Mills equation and new special functions in integrable systems. Zbl 0941.37542
Chakravarty, S.; Ablowitz, M. J.; Takhtajan, L. A.
4
1992
Stable, multi-state, time-reversible cellular automata with rich particle content. Zbl 0787.58022
Ablowitz, M. J.; Keiser, J. M.; Takhtadzhyan, L. A.
2
1992
A simple example of modular forms as tau-functions for integrable equations. Zbl 0794.35114
Takhtadzhyan, L. A.
1
1992
A local index theorem for families of \({\bar \partial}\)-operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaces. Zbl 0725.58043
Takhtadzhyan, L. A.; Zograf, P. G.
30
1991
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
260
1990
Introduction to quantum groups. Zbl 0735.17009
Takhtadzhyan, L. A.
4
1990
On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0715.53048
Zograf, P. G.; Takhtadzhyan, L. A.
3
1990
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
51
1989
Noncommutative homology of quantum tori. Zbl 0708.19003
Takhtadzhyan, L. A.
8
1989
On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0689.53037
Zograf, P. G.; Takhtadzhyan, L. A.
6
1989
Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles. Zbl 0689.30035
Takhtajan, L. A.
4
1989
Quantum groups. Zbl 0716.17010
Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L.
1
1989
On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces. Zbl 0663.32017
Zograf, P. G.; Takhtadzhyan, L. A.
35
1988
On Liouville’s equation, accessory parameters, and the geometry of Teichmüller space for Riemann surfaces of genus 0. Zbl 0655.32022
Zograf, P. G.; Takhtadzhyan, L. A.
22
1988
The Selberg zeta function and a new Kähler metric on the moduli space of punctured Riemann surfaces. Zbl 0739.30032
Takhtadzhyan, L. A.; Zograf, P. G.
9
1988
Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Zbl 0632.58004
Faddeev, L. D.; Takhtadzhyan, L. A.
67
1987
On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces. Zbl 0642.32011
Zograf, P. G.; Takhtadzhyan, L. A.
11
1987
A local index theorem for families of \(\overline{\partial}\)-operators on Riemann surfaces. Zbl 0659.58043
Zograf, P. G.; Takhtadzhyan, L. A.
10
1987
On Liouville equations, accessory parameters, and the geometry of Teichmüller spaces for Riemann surfaces of genus 0. Zbl 0642.32010
Zograf, P. G.; Takhtadzhyan, L. A.
9
1987
A local index theorem for families of \({\bar \partial}\)-operators on Riemann surfaces. Zbl 0699.58061
Zograf, P. G.; Takhtadzhyan, L. A.
8
1987
The zeta-function of the additive divisor problem and spectral decomposition of the automorphic Laplacian. Zbl 0609.10023
Vinogradov, A. I.; Takhtadzhyan, L. A.
2
1987
Potential of the Weil-Petersson metric on the Torelli space. Zbl 0900.32007
Zograf, P. G.; Takhtadzhyan, L. A.
1
1987
The potential of the Weil-Petersson metric on Torelli space. Zbl 0631.32020
Zograf, P. G.; Takhtadzhyan, L. A.
1
1987
Hamiltonian methods in the theory of solitons. (Гамил’тонов подход в теории солитонов.) Zbl 0632.58003
Takhtadzhyan, L. A.; Faddeev, L. D.
119
1986
Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100
Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A.
11
1986
Poisson structure for the KdV equation. Zbl 0595.35093
Faddeev, L. D.; Takhtadzhan, L. A.
9
1985
Action of the Liouville equation is a generating function for the accessory parameters and the potential of the Weil-Petersson metric on the Teichmüller space. Zbl 0612.32018
Zograf, P. G.; Takhtadzhyan, L. A.
5
1985
Simple connection between the geometric and the Hamiltonian representations of integrable nonlinear equations. Zbl 0562.35088
Takhtadzhyan, L. A.; Faddeev, L. D.
2
1985
Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0532.47009
Faddeev, L. D.; Takhtadzhyan, L. A.
55
1984
The zeta-function of the additive divisor problem and the spectral expansion of the automorphic Laplacian. Zbl 0536.10025
Vinogradov, A. I.; Takhtadzhyan, L. A.
12
1984
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0534.10039
Vinogradov, A. I.; Takhtadzhyan, L. A.
4
1984
Solutions of the triangle equations with \({\mathbb{Z}}_ n\times {\mathbb{Z}}_ n\)-symmetry and matrix analogues of the Weierstrass zeta- and sigma- functions. Zbl 0542.15003
Takhtadzhyan, L. A.
3
1984
Integrable models in classical and quantum field theory. Zbl 0569.47010
Takhtajan, L. A.
2
1984
Analogues of the Vinogradov-Gauss formula in the critical strip. Zbl 0523.12011
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1983
Theory of Eisenstein series for the group SL(3,R) and its application to a binary problem. Zbl 0476.10024
Vinogradov, A. I.; Takhtadzhyan, L. A.
11
1982
The Gauss-Hasse hypothesis on real quadratic fields with class number one. Zbl 0497.12004
Takhtadzhan, L. A.; Vinogradov, A. I.
2
1982
A simple connection between geometric and Hamiltonian representations of integrable nonlinear equations. Zbl 0505.35082
Takhtadzhyan, L. A.; Faddeev, L. D.
1
1982
An estimate of the residue of Rankin L-series. Zbl 0516.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1982
The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0471.47009
Takhtadzhyan, L. A.; Faddeev, L. D.
12
1981
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0468.10023
Takhtadzhyan, L. A.; Vinogradov, A. I.
5
1981
The quantum inverse problem method and the XYZ Heisenberg model. Zbl 1194.81247
Takhtajan, Leon A.
3
1981
Analogs of the Vinogradov-Gauss formula in the critical strip. Zbl 0483.12002
Vinogradov, A. I.; Takhtadzhyan, L. A.
2
1981
Quantum inverse problem method. I. Zbl 1138.37331
Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D.
164
1980
On the Linnik-Skubenko asymptotics. Zbl 0488.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
6
1980
On analogues of the Vinogradov-Gauss formula. Zbl 0468.10022
Vinogradov, A. I.; Takhtadzhyan, L. A.
5
1980
The quantum inverse problem method. I. Zbl 0449.35096
Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A.
19
1979
Asymptotic formula for the sum of the lengths of the periods of the quadratic irrationalities of discriminant D. Zbl 0442.10007
Takhtadzhyan, L. A.
1
1979
Theory of Eisenstein series for the group \(\mathrm{SL}(3,\mathbb{R})\) and its application to a binary problem. I: Fourier expansion of the highest Eisenstein series. Zbl 0434.10020
Vinogradov, A. I.; Takhtadzhyan, L. A.
11
1978
Hamiltonian systems connected with the Dirac equation. Zbl 0404.35087
Tahtadzjan, L. A.
1
1977
The Hamiltonian system connected with the equation u//(xi,nu)+sin u=0. Zbl 0412.35065
Takhtadzhyan, L. A.; Faddeev, L. D.
5
1976
Essentially nonlinear one-dimensional model of classical field theory. Zbl 0299.35063
Tahtadzjan, L. A.; Faddeev, L. D.
30
1975
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
24
1974
all top 5

Cited by 1,890 Authors

26 Takhtajan, Leon Armenovich
24 Doikou, Anastasia
23 Slavnov, Nikita A.
21 Kulish, Petr Petrovich
19 Ragoucy, Eric
18 Guha, Partha
14 Bai, Ruipu
14 Mudrov, Andrey I.
13 Sakhnovich, Alexander L.
13 Shen, Yuliang
12 Ablowitz, Mark Jay
12 Teo, Lee-Peng
11 Gurevich, Dmitrii
11 Its, Alexander Rudolfovich
11 Pakuliak, Stanislav Z.
11 Talalov, Sergeĭ Vladimirovich
10 Belliard, Samuel
10 Derkachëv, Sergeĭ Èduardovich
10 Kozlowski, Karol Kajetan
10 Lukyanov, Sergei L.
10 Prykarpatsky, Anatoliy Karolevych
10 Van der Mee, Cornelis Victor Maria
9 Bazhanov, Vladimir V.
9 Demontis, Francesco
9 Niccoli, Giuliano
9 Schippers, Eric D.
9 Teschl, Gerald
8 Biondini, Gino
8 Biswas, Indranil
8 Casas Miras, José Manuel
8 Crampé, Nicolas
8 Gerdzhikov, Vladimir Stefanov
8 Jing, Naihuan
8 Maillet, Jean-Michel
8 Makhlouf, Abdenacer
8 Manojlović, Nenad
8 Mariño, Marcos
8 Reshetikhin, Nikolai Yu.
8 Saponov, Pavel A.
8 Tang, ShuAn
8 Vinogradov, Askol’d Ivanovich
7 Abramov, Viktor
7 Avan, Jean
7 Domrin, Andrei Victorovich
7 Eshaghi Gordji, Madjid
7 Faddeev, Lyudvig Dmitrievich
7 Galleas, Wellington
7 Grassi, Alba
7 Hayashi, Takahiro
7 Kirillov, Anatol N.
7 Landi, Giovanni
7 Lipovskij, V. D.
7 Park, Choonkil
7 Prinari, Barbara
7 Rubtsov, Vladimir Nikolaevich
7 Staubach, Wolfgang
7 Vakhnenko, Oleksiy O.
6 Bogolyubov, Nikolaĭ Mikhaĭlovich
6 Caudrelier, Vincent
6 Ding, Qing
6 Ercolani, Nicholas M.
6 Grahovski, Georgi G.
6 Hadasz, Leszek
6 Jaskólski, Zbigniew
6 Karakhanyan, David
6 Kirschner, Roland
6 Korepin, Vladimir E.
6 Ladra González, Manuel
6 Majid, Shahn
6 Menotti, Pietro
6 Molev, Alexander I.
6 Nepomechie, Rafael I.
6 Ortenzi, Giovanni
6 Park, Jinsung
6 Radnell, David
6 Sheng, Yunhe
6 Shepelsky, Dmitry
6 Silvestrov, Sergei D.
6 Zhang, Yaozhong
6 Zhang, Yufeng
6 Zhou, Ruguang
5 Bai, Chengming
5 Bikbaev, Ramil’ F.
5 Boutet de Monvel, Anne Marie
5 Brzeziński, Tomasz
5 Das, Apurba
5 Donin, Joseph
5 Foerster, Angela
5 Forest, M. Gregory
5 Frappat, Luc
5 Gao, Peng
5 Ghose Choudhury, Anindya
5 Göhmann, Frank
5 Gravejat, Philippe
5 Gutshabash, Evgenii Shimonovitch
5 Khabibullin, Ismagil Talgatovich
5 Hu, Naihong
5 Liu, Ming
5 Ma, Wen-Xiu
5 Manashov, Alexander N.
...and 1,790 more Authors
all top 5

Cited in 256 Serials

131 Theoretical and Mathematical Physics
129 Communications in Mathematical Physics
129 Journal of Mathematical Physics
111 Nuclear Physics. B
78 Journal of Geometry and Physics
78 Journal of High Energy Physics
66 Letters in Mathematical Physics
60 Journal of Soviet Mathematics
45 Journal of Algebra
36 Journal of Mathematical Sciences (New York)
35 Physics Letters. A
28 Physica D
26 Journal of Nonlinear Mathematical Physics
24 Advances in Mathematics
21 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
20 Journal of Statistical Mechanics: Theory and Experiment
19 International Journal of Modern Physics A
19 Studies in Applied Mathematics
17 International Journal of Geometric Methods in Modern Physics
16 Journal of Physics A: Mathematical and Theoretical
15 Chaos, Solitons and Fractals
15 Duke Mathematical Journal
15 Transactions of the American Mathematical Society
14 Journal of Mathematical Analysis and Applications
13 Physics Letters. B
12 Journal of Pure and Applied Algebra
12 Annales Henri Poincaré
11 Reviews in Mathematical Physics
11 Acta Applicandae Mathematicae
10 Communications in Algebra
10 Ukrainian Mathematical Journal
10 Functional Analysis and its Applications
10 Mathematische Zeitschrift
9 Proceedings of the American Mathematical Society
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 International Journal of Modern Physics B
8 International Journal of Theoretical Physics
8 Israel Journal of Mathematics
8 Journal d’Analyse Mathématique
8 Annales de l’Institut Fourier
8 Journal of Differential Equations
8 Mathematische Annalen
8 Advances in Applied Clifford Algebras
8 Analysis and Mathematical Physics
7 Communications on Pure and Applied Mathematics
7 Reports on Mathematical Physics
7 Journal of Functional Analysis
7 Journal of Number Theory
7 Linear Algebra and its Applications
7 Proceedings of the Steklov Institute of Mathematics
7 Science China. Mathematics
6 Applied Mathematics and Computation
6 Inventiones Mathematicae
6 Annals of Global Analysis and Geometry
6 St. Petersburg Mathematical Journal
5 Modern Physics Letters A
5 Classical and Quantum Gravity
5 Mathematical Notes
5 Russian Mathematical Surveys
5 Compositio Mathematica
5 Geometriae Dedicata
5 Communications in Partial Differential Equations
5 Journal of Nonlinear Science
5 Nuclear Physics, B, Proceedings Supplements
5 Discrete and Continuous Dynamical Systems
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Mathematical Physics, Analysis and Geometry
5 Geometry & Topology
5 Journal of Algebra and its Applications
5 Frontiers of Mathematics in China
4 General Relativity and Gravitation
4 Journal of Statistical Physics
4 Linear and Multilinear Algebra
4 Integral Equations and Operator Theory
4 Applied Numerical Mathematics
4 Differential Geometry and its Applications
4 Annals of Physics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Mathematical Analysis
4 Selecta Mathematica. New Series
4 Journal of Inequalities and Applications
4 Algebras and Representation Theory
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
4 Advances in High Energy Physics
4 Advances in Mathematical Physics
4 Journal of Geometric Mechanics
3 Applicable Analysis
3 Journal of Computational Physics
3 Lithuanian Mathematical Journal
3 Nonlinearity
3 Journal of Computational and Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the Japan Academy. Series A
3 Quaestiones Mathematicae
3 Ricerche di Matematica
3 Transactions of the Moscow Mathematical Society
3 Advances in Applied Mathematics
3 Applied Mathematics Letters
3 Science in China. Series A
...and 156 more Serials
all top 5

Cited in 54 Fields

663 Quantum theory (81-XX)
463 Nonassociative rings and algebras (17-XX)
455 Partial differential equations (35-XX)
449 Dynamical systems and ergodic theory (37-XX)
230 Statistical mechanics, structure of matter (82-XX)
217 Associative rings and algebras (16-XX)
175 Differential geometry (53-XX)
146 Global analysis, analysis on manifolds (58-XX)
128 Functions of a complex variable (30-XX)
106 Several complex variables and analytic spaces (32-XX)
94 Algebraic geometry (14-XX)
89 Relativity and gravitational theory (83-XX)
82 Mechanics of particles and systems (70-XX)
79 Functional analysis (46-XX)
72 Ordinary differential equations (34-XX)
70 Number theory (11-XX)
64 Group theory and generalizations (20-XX)
48 Difference and functional equations (39-XX)
46 Operator theory (47-XX)
44 Topological groups, Lie groups (22-XX)
33 Special functions (33-XX)
24 Manifolds and cell complexes (57-XX)
22 Combinatorics (05-XX)
22 Numerical analysis (65-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
19 Category theory; homological algebra (18-XX)
17 Fluid mechanics (76-XX)
11 Algebraic topology (55-XX)
11 Optics, electromagnetic theory (78-XX)
10 Integral equations (45-XX)
10 Mechanics of deformable solids (74-XX)
9 \(K\)-theory (19-XX)
9 Probability theory and stochastic processes (60-XX)
8 Computer science (68-XX)
7 Commutative algebra (13-XX)
7 Approximations and expansions (41-XX)
6 Real functions (26-XX)
6 Biology and other natural sciences (92-XX)
5 History and biography (01-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Abstract harmonic analysis (43-XX)
4 Convex and discrete geometry (52-XX)
4 Statistics (62-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Measure and integration (28-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Potential theory (31-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
1 Operations research, mathematical programming (90-XX)

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