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Takhtajan, Leon Armenovich

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.; Takhtajan, L.; Takhtadzhyan, L.
Further Spellings: Լևոն Թախտաջյան
Homepage: http://www.math.stonybrook.edu/~leontak/
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Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 2,718 times in 2,273 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.
361
2007
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
319
1990
On foundation of the generalized Nambu mechanics. Zbl 0808.70015
Takhtajan, Leon
230
1994
Quantum inverse problem method. I. Zbl 1138.37331
Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D.
204
1980
The spectral theory of a functional-difference operator in conformal field theory. Zbl 1327.39013
Takhtajan, L. A.; Faddeev, L. D.
145
2015
Hamiltonian methods in the theory of solitons. (Гамил’тонов подход в теории солитонов.) Zbl 0632.58003
Takhtadzhyan, L. A.; Faddeev, L. D.
130
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.
125
1987
Weil-Petersson metric on the universal Teichmüller space. Zbl 1243.32010
Takhtajan, Leon A.; Teo, Lee-Peng
91
2006
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
66
1989
Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0532.47009
Faddeev, L. D.; Takhtadzhyan, L. A.
65
1984
Leibniz and Lie algebra structures for Nambu algebra. Zbl 0869.58024
Daletskii, Yuri L.; Takhtajan, Leon A.
65
1997
The quantum inverse problem method. I. Zbl 0449.35096
Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A.
64
1979
Quantum mechanics for mathematicians. Zbl 1156.81004
Takhtajan, Leon A.
46
2008
On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces. Zbl 0663.32017
Zograf, P. G.; Takhtadzhyan, L. A.
43
1988
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
37
1974
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.
37
1993
Essentially nonlinear one-dimensional model of classical field theory. Zbl 0299.35063
Tahtadzjan, L. A.; Faddeev, L. D.
35
1975
Deformation quantization and Nambu mechanics. Zbl 0877.70012
Dito, G.; Flato, M.; Sternheimer, D.; Takhtajan, L.
34
1997
Hyperbolic \(2\)-spheres with conical singularities, accessory parameters and Kähler metrics on \({\mathcal{M}}_{0,n}\). Zbl 1075.32006
Takhtajan, Leon; Zograf, Peter
33
2003
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.
32
1991
Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography. Zbl 1065.30046
Takhtajan, Leon A.; Teo, Lee-Peng
32
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.
31
1988
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.
27
2006
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.
22
2016
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
19
2000
Topics in the quantum geometry of Riemann surfaces: Two-dimensional quantum gravity. Zbl 0919.17022
Takhtajan, L. A.
19
1996
Free bosons and tau-functions for compact Riemann surfaces and closed smooth Jordan curves. Current correlation functions. Zbl 1072.14521
Takhtajan, Leon A.
15
2001
Aspects of classical and quantum Nambu mechanics. Zbl 0861.70018
Chatterjee, Rupak; Takhtajan, Leon
15
1996
A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of \(n\)-gebras. Zbl 0833.17021
Takhtajan, L. A.
14
1994
On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces. Zbl 0642.32011
Zograf, P. G.; Takhtadzhyan, L. A.
13
1987
Liouville theory: Quantum geometry of Riemann surfaces. Zbl 1021.81891
Takhtajan, Leon A.
13
1993
The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0471.47009
Takhtadzhyan, L. A.; Faddeev, L. D.
13
1981
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.
13
1978
A local index theorem for families of \(\overline{\partial}\)-operators on Riemann surfaces. Zbl 0659.58043
Zograf, P. G.; Takhtadzhyan, L. A.
12
1987
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.
12
1982
Elementary introduction to quantum groups. Zbl 0820.17013
Takhtajan, L. A.
11
1993
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 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.
10
1987
Poisson structure for the KdV equation. Zbl 0595.35093
Faddeev, L. D.; Takhtadzhan, L. A.
10
1985
Quantum Liouville theory in the background field formalism. I: Compact Riemann surfaces. Zbl 1114.32007
Takhtajan, Leon A.; Teo, Lee-Peng
9
2006
Equivalence of geometric \(h<1/2\) and standard \(c>25\) approaches to two-dimensional quantum gravity. Zbl 1022.81750
Takhtajan, Leon A.
9
1996
A local index theorem for families of \({\bar \partial}\)-operators on Riemann surfaces. Zbl 0699.58061
Zograf, P. G.; Takhtadzhyan, L. A.
9
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
Local index theorem for orbifold Riemann surfaces. Zbl 1417.58024
Takhtajan, Leon A.; Zograf, Peter
9
2019
The first Chern form on moduli of parabolic bundles. Zbl 1156.14028
Takhtajan, Leon A.; Zograf, Peter
8
2008
On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0689.53037
Zograf, P. G.; Takhtadzhyan, L. A.
8
1989
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
Semi-classical Liouville theory, complex geometry of moduli spaces, and uniformization of Riemann surfaces. Zbl 1221.32006
Takhtajan, Leon
7
1992
On the Linnik-Skubenko asymptotics. Zbl 0488.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
7
1980
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0534.10039
Vinogradov, A. I.; Takhtadzhyan, L. A.
7
1984
Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles. Zbl 0689.30035
Takhtajan, L. A.
7
1989
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.
7
1985
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.
7
1997
The Hamiltonian system connected with the equation \(u_{\xi,\eta}+\sin u=0\). Zbl 0412.35065
Takhtadzhyan, L. A.; Faddeev, L. D.
7
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
7
2017
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.
6
2011
On analogues of the Vinogradov-Gauss formula. Zbl 0468.10022
Vinogradov, A. I.; Takhtadzhyan, L. A.
6
1980
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0468.10023
Takhtadzhyan, L. A.; Vinogradov, A. I.
6
1981
Introduction to quantum groups. Zbl 0735.17009
Takhtadzhyan, L. A.
6
1990
Modular forms as \(\tau\)-functions for certain integrable reductions of the Yang-Mills equations. Zbl 0814.35110
Takhtajan, Leon A.
5
1993
Liouville theory: Ward identities for generating functional and modular geometry. Zbl 1021.81892
Takhtajan, Leon A.
5
1994
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.
4
1984
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
On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0715.53048
Zograf, P. G.; Takhtadzhyan, L. A.
3
1990
Real projective connections, V. I. Smirnov’s approach, and black-hole-type solutions of the Liouville equation. Zbl 1321.83031
Takhtajan, L. A.
3
2014
Weyl asymptotics for perturbed functional difference operators. Zbl 1427.81063
Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A.
3
2019
The quantum inverse problem method and the XYZ Heisenberg model. Zbl 1194.81247
Takhtajan, Leon A.
3
1981
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
Weil-Petersson geometry of the universal Teichmüller space. Zbl 1142.32300
Takhtajan, Leon A.; Teo, Lee-Peng
2
2005
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
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 groups. Zbl 0716.17010
Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L.
2
1989
Hamiltonian systems connected with the Dirac equation. Zbl 0404.35087
Tahtadzjan, L. A.
2
1977
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.
2
1992
Generating functional in CFT on Riemann surfaces II: Homological aspects. Zbl 1024.81036
Aldrovandi, Ettore; Takhtajan, Leon A.
2
2002
On Kawai theorem for orbifold Riemann surfaces. Zbl 1435.30131
Takhtajan, Leon A.
2
2019
Etudes of the resolvent. Zbl 1440.47004
Takhtajan, Leon A.
2
2020
The potential of the Weil-Petersson metric on Torelli space. Zbl 0631.32020
Zograf, P. G.; Takhtadzhyan, L. A.
1
1987
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
Analogues of the Vinogradov-Gauss formula in the critical strip. Zbl 0523.12011
Vinogradov, A. I.; Takhtadzhyan, L. A.
1
1983
Potential of the Weil-Petersson metric on the Torelli space. Zbl 0900.32007
Zograf, P. G.; Takhtadzhyan, L. A.
1
1987
Ludwig Faddeev memorial volume. A life in mathematical physics. Zbl 1398.81011
1
2018
Quantum field theories on an algebraic curve. Zbl 1024.81016
Takhtajan, Leon A.
1
2000
Quantum groups and integrable models. Zbl 0698.16008
Takhtadzhan, L. A.
1
1989
Integrable cellular automata and AKNS hierarchy. Zbl 0860.35117
Takhtajan, Leon A.
1
1996
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
Explicit computation of the Chern character forms. Zbl 1355.32016
Takhtajan, Leon A.
1
2016
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
Trace formulas for the modified Mathieu equation. Zbl 1515.47060
Takhtajan, Leon A.
1
2021
Goldman form, flat connections and stable vector bundles. Zbl 1502.14032
Takhtajan, Leon A.
1
2022
Logarithmic connections, WZNW action, and moduli of parabolic bundles on the sphere. Zbl 07404761
Meneses, Claudio; Takhtajan, Leon A.
1
2021
Quantum field theories on algebraic curves. I. Additive bosons. Zbl 1270.81128
Takhtajan, L. A.
1
2013
Goldman form, flat connections and stable vector bundles. Zbl 1502.14032
Takhtajan, Leon A.
1
2022
Trace formulas for the modified Mathieu equation. Zbl 1515.47060
Takhtajan, Leon A.
1
2021
Logarithmic connections, WZNW action, and moduli of parabolic bundles on the sphere. Zbl 07404761
Meneses, Claudio; Takhtajan, Leon A.
1
2021
Etudes of the resolvent. Zbl 1440.47004
Takhtajan, Leon A.
2
2020
Local index theorem for orbifold Riemann surfaces. Zbl 1417.58024
Takhtajan, Leon A.; Zograf, Peter
9
2019
Weyl asymptotics for perturbed functional difference operators. Zbl 1427.81063
Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A.
3
2019
On Kawai theorem for orbifold Riemann surfaces. Zbl 1435.30131
Takhtajan, Leon A.
2
2019
Ludwig Faddeev memorial volume. A life in mathematical physics. Zbl 1398.81011
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
7
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.
22
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.
145
2015
On Bott-Chern forms and their applications. Zbl 1303.32014
Pingali, Vamsi P.; Takhtajan, Leon A.
8
2014
Real projective connections, V. I. Smirnov’s approach, and black-hole-type solutions of the Liouville equation. Zbl 1321.83031
Takhtajan, L. A.
3
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
Quantum field theories on algebraic curves. I. Additive bosons. Zbl 1270.81128
Takhtajan, L. A.
1
2013
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.
6
2011
Quantum mechanics for mathematicians. Zbl 1156.81004
Takhtajan, Leon A.
46
2008
The first Chern form on moduli of parabolic bundles. Zbl 1156.14028
Takhtajan, Leon A.; Zograf, Peter
8
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.
361
2007
Weil-Petersson metric on the universal Teichmüller space. Zbl 1243.32010
Takhtajan, Leon A.; Teo, Lee-Peng
91
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.
27
2006
Quantum Liouville theory in the background field formalism. I: Compact Riemann surfaces. Zbl 1114.32007
Takhtajan, Leon A.; Teo, Lee-Peng
9
2006
Weil-Petersson geometry of the universal Teichmüller space. Zbl 1142.32300
Takhtajan, Leon A.; Teo, Lee-Peng
2
2005
Hyperbolic \(2\)-spheres with conical singularities, accessory parameters and Kähler metrics on \({\mathcal{M}}_{0,n}\). Zbl 1075.32006
Takhtajan, Leon; Zograf, Peter
33
2003
Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography. Zbl 1065.30046
Takhtajan, Leon A.; Teo, Lee-Peng
32
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.
15
2001
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
19
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.
65
1997
Deformation quantization and Nambu mechanics. Zbl 0877.70012
Dito, G.; Flato, M.; Sternheimer, D.; Takhtajan, L.
34
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.
7
1997
Topics in the quantum geometry of Riemann surfaces: Two-dimensional quantum gravity. Zbl 0919.17022
Takhtajan, L. A.
19
1996
Aspects of classical and quantum Nambu mechanics. Zbl 0861.70018
Chatterjee, Rupak; Takhtajan, Leon
15
1996
Equivalence of geometric \(h<1/2\) and standard \(c>25\) approaches to two-dimensional quantum gravity. Zbl 1022.81750
Takhtajan, Leon A.
9
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
230
1994
A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of \(n\)-gebras. Zbl 0833.17021
Takhtajan, L. A.
14
1994
Liouville theory: Ward identities for generating functional and modular geometry. Zbl 1021.81892
Takhtajan, Leon A.
5
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.
37
1993
Liouville theory: Quantum geometry of Riemann surfaces. Zbl 1021.81891
Takhtajan, Leon A.
13
1993
Elementary introduction to quantum groups. Zbl 0820.17013
Takhtajan, L. A.
11
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
7
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.
2
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.
32
1991
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
319
1990
Introduction to quantum groups. Zbl 0735.17009
Takhtadzhyan, L. A.
6
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.
66
1989
On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0689.53037
Zograf, P. G.; Takhtadzhyan, L. A.
8
1989
Noncommutative homology of quantum tori. Zbl 0708.19003
Takhtadzhyan, L. A.
8
1989
Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles. Zbl 0689.30035
Takhtajan, L. A.
7
1989
Quantum groups. Zbl 0716.17010
Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L.
2
1989
Quantum groups and integrable models. Zbl 0698.16008
Takhtadzhan, L. A.
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.
43
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.
31
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.
125
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.
13
1987
A local index theorem for families of \(\overline{\partial}\)-operators on Riemann surfaces. Zbl 0659.58043
Zograf, P. G.; Takhtadzhyan, L. A.
12
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.
10
1987
A local index theorem for families of \({\bar \partial}\)-operators on Riemann surfaces. Zbl 0699.58061
Zograf, P. G.; Takhtadzhyan, L. A.
9
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
The potential of the Weil-Petersson metric on Torelli space. Zbl 0631.32020
Zograf, P. G.; Takhtadzhyan, L. A.
1
1987
Potential of the Weil-Petersson metric on the Torelli space. Zbl 0900.32007
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.
130
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.
10
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.
7
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.
65
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.
7
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.
4
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.
12
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.
13
1981
Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0468.10023
Takhtadzhyan, L. A.; Vinogradov, A. I.
6
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.
204
1980
On the Linnik-Skubenko asymptotics. Zbl 0488.10017
Vinogradov, A. I.; Takhtadzhyan, L. A.
7
1980
On analogues of the Vinogradov-Gauss formula. Zbl 0468.10022
Vinogradov, A. I.; Takhtadzhyan, L. A.
6
1980
The quantum inverse problem method. I. Zbl 0449.35096
Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A.
64
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.
13
1978
Hamiltonian systems connected with the Dirac equation. Zbl 0404.35087
Tahtadzjan, L. A.
2
1977
The Hamiltonian system connected with the equation \(u_{\xi,\eta}+\sin u=0\). Zbl 0412.35065
Takhtadzhyan, L. A.; Faddeev, L. D.
7
1976
Essentially nonlinear one-dimensional model of classical field theory. Zbl 0299.35063
Tahtadzjan, L. A.; Faddeev, L. D.
35
1975
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
37
1974
all top 5

Cited by 2,357 Authors

31 Doikou, Anastasia
28 Takhtajan, Leon Armenovich
27 Slavnov, Nikita A.
22 Ragoucy, Eric
21 Kulish, Petr Petrovich
19 Guha, Partha
18 Mudrov, Andrey I.
17 Bai, Ruipu
16 Shen, Yuliang
15 Crampé, Nicolas
15 Prykarpatsky, Anatoliy Karolevych
13 Gerdzhikov, Vladimir Stefanov
13 Kozlowski, Karol Kajetan
13 Sakhnovich, Alexander L.
12 Ablowitz, Mark Jay
12 Belliard, Samuel
12 Derkachëv, Sergeĭ Èduardovich
12 Gurevich, Dmitrii
12 Khasanov, Aknazar Bekdurdievich
12 Lukyanov, Sergei L.
12 Schippers, Eric D.
12 Teo, Lee-Peng
12 Van der Mee, Cornelis Victor Maria
11 Bazhanov, Vladimir V.
11 Biondini, Gino
11 Demontis, Francesco
11 Its, Alexander Rudolfovich
11 Maillet, Jean-Michel
11 Majid, Shahn
11 Niccoli, Giuliano
11 Pakuliak, Stanislav Z.
11 Talalov, Sergeĭ Vladimirovich
10 Biswas, Indranil
10 Caudrelier, Vincent
10 Jing, Naihuan
10 Makhlouf, Abdenacer
10 Mariño, Marcos
10 Prinari, Barbara
10 Reshetikhin, Nikolai Yu.
10 Staubach, Wolfgang
10 Wei, Huaying
9 Casas Miras, José Manuel
9 Çelik, Salih
9 Domrin, Andrei Victorovich
9 Gao, Peng
9 Isaev, Alekseĭ Petrovich
9 Teschl, Gerald
9 Zhao, Liangyi
8 Avan, Jean
8 Karakhanyan, David
8 Kirschner, Roland
8 Manashov, Alexander N.
8 Manojlović, Nenad
8 Molev, Alexander I.
8 Rubtsov, Vladimir Nikolaevich
8 Saponov, Pavel A.
8 Sheng, Yunhe
8 Shepelsky, Dmitry
8 Tang, ShuAn
8 Terras, Véronique
8 Vinogradov, Askol’d Ivanovich
8 Zotov, Andrei V.
7 Abramov, Viktor
7 Bogolyubov, Nikolaĭ Mikhaĭlovich
7 Donin, Joseph
7 Eshaghi Gordji, Madjid
7 Faddeev, Lyudvig Dmitrievich
7 Galleas, Wellington
7 Grahovski, Georgi G.
7 Grassi, Alba
7 Hayashi, Takahiro
7 Hu, Hongmei
7 Kirillov, Anatol N.
7 Korepin, Vladimir E.
7 Korotkin, Dmitrii A.
7 Ladra González, Manuel
7 Landi, Giovanni
7 Li, Luen-Chau
7 Ling, Liming
7 Lipovskij, V. D.
7 Mabrouk, Sami
7 Matsuzaki, Katsuhiko
7 Menotti, Pietro
7 Motegi, Kohei
7 Nepomechie, Rafael I.
7 Park, Choonkil
7 Prykarpatsky, Yarema Anatoliyovych
7 Radnell, David
7 Sklyanin, Evgeny K.
7 Vakhnenko, Oleksiy O.
7 Zabrodin, Anton V.
7 Zhang, Yufeng
7 Zograf, Peter
6 Bai, Chengming
6 Blackmore, Denis L.
6 Ding, Qing
6 Ercolani, Nicholas M.
6 Foerster, Angela
6 Frappat, Luc
6 Geng, Xianguo
...and 2,257 more Authors
all top 5

Cited in 302 Serials

151 Theoretical and Mathematical Physics
143 Communications in Mathematical Physics
138 Journal of Mathematical Physics
130 Journal of High Energy Physics
123 Nuclear Physics. B
88 Journal of Geometry and Physics
73 Letters in Mathematical Physics
72 Journal of Physics A: Mathematical and Theoretical
60 Journal of Soviet Mathematics
49 Journal of Algebra
40 Physica D
40 Journal of Mathematical Sciences (New York)
36 Physics Letters. A
36 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
32 Advances in Mathematics
27 Journal of Nonlinear Mathematical Physics
24 Studies in Applied Mathematics
21 International Journal of Modern Physics A
20 Journal of Statistical Mechanics: Theory and Experiment
19 Chaos, Solitons and Fractals
18 Physics Letters. B
18 International Journal of Geometric Methods in Modern Physics
17 Duke Mathematical Journal
17 Transactions of the American Mathematical Society
16 Mathematische Zeitschrift
15 Journal of Mathematical Analysis and Applications
15 Annales Henri Poincaré
14 Ukrainian Mathematical Journal
14 Journal of Pure and Applied Algebra
13 Communications in Algebra
13 Reviews in Mathematical Physics
12 Journal of Differential Equations
12 Acta Applicandae Mathematicae
11 Israel Journal of Mathematics
11 Reports on Mathematical Physics
10 International Journal of Theoretical Physics
10 Functional Analysis and its Applications
10 Journal of Functional Analysis
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Analysis and Mathematical Physics
9 International Journal of Modern Physics B
9 Annales de l’Institut Fourier
9 Inventiones Mathematicae
9 Proceedings of the American Mathematical Society
9 Advances in Applied Clifford Algebras
8 Journal d’Analyse Mathématique
8 Mathematische Annalen
8 Linear Algebra and its Applications
8 St. Petersburg Mathematical Journal
8 Journal of Algebra and its Applications
7 Communications on Pure and Applied Mathematics
7 Journal of Number Theory
7 Journal of Nonlinear Science
7 Discrete and Continuous Dynamical Systems
7 Proceedings of the Steklov Institute of Mathematics
7 Communications in Theoretical Physics
7 Science China. Mathematics
6 Modern Physics Letters A
6 Linear and Multilinear Algebra
6 Mathematical Notes
6 Applied Mathematics and Computation
6 Compositio Mathematica
6 Annals of Global Analysis and Geometry
6 Turkish Journal of Mathematics
6 Mathematical Physics, Analysis and Geometry
6 Geometry & Topology
6 Algebras and Representation Theory
6 Journal of Geometric Mechanics
5 Classical and Quantum Gravity
5 Journal of Statistical Physics
5 Russian Mathematical Surveys
5 Geometriae Dedicata
5 Communications in Partial Differential Equations
5 SIAM Journal on Mathematical Analysis
5 Nuclear Physics. B. Proceedings Supplements
5 Selecta Mathematica. New Series
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Nonlinear Dynamics
5 Acta Mathematica Sinica. English Series
5 Communications in Nonlinear Science and Numerical Simulation
5 Frontiers of Mathematics in China
4 Archive for Rational Mechanics and Analysis
4 General Relativity and Gravitation
4 Nonlinearity
4 Integral Equations and Operator Theory
4 Journal of Computational and Applied Mathematics
4 Proceedings of the Japan Academy. Series A
4 Transactions of the Moscow Mathematical Society
4 Advances in Applied Mathematics
4 Applied Numerical Mathematics
4 Applied Mathematics Letters
4 Differential Geometry and its Applications
4 The Journal of Geometric Analysis
4 Annals of Physics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Russian Mathematics
4 Conformal Geometry and Dynamics
4 Journal of Inequalities and Applications
4 Journal of the European Mathematical Society (JEMS)
4 Quantum Information Processing
...and 202 more Serials
all top 5

Cited in 59 Fields

842 Quantum theory (81-XX)
579 Partial differential equations (35-XX)
574 Nonassociative rings and algebras (17-XX)
542 Dynamical systems and ergodic theory (37-XX)
299 Statistical mechanics, structure of matter (82-XX)
267 Associative rings and algebras (16-XX)
207 Differential geometry (53-XX)
163 Functions of a complex variable (30-XX)
158 Global analysis, analysis on manifolds (58-XX)
128 Algebraic geometry (14-XX)
123 Several complex variables and analytic spaces (32-XX)
101 Relativity and gravitational theory (83-XX)
99 Mechanics of particles and systems (70-XX)
89 Functional analysis (46-XX)
88 Ordinary differential equations (34-XX)
84 Number theory (11-XX)
78 Group theory and generalizations (20-XX)
63 Operator theory (47-XX)
57 Topological groups, Lie groups (22-XX)
57 Difference and functional equations (39-XX)
49 Special functions (33-XX)
30 Numerical analysis (65-XX)
29 Fluid mechanics (76-XX)
27 Combinatorics (05-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
27 Category theory; homological algebra (18-XX)
26 Manifolds and cell complexes (57-XX)
22 Probability theory and stochastic processes (60-XX)
16 Optics, electromagnetic theory (78-XX)
15 Integral equations (45-XX)
15 Algebraic topology (55-XX)
13 Approximations and expansions (41-XX)
12 Commutative algebra (13-XX)
11 Mechanics of deformable solids (74-XX)
10 \(K\)-theory (19-XX)
10 Real functions (26-XX)
10 Computer science (68-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Statistics (62-XX)
8 Geometry (51-XX)
8 Biology and other natural sciences (92-XX)
5 History and biography (01-XX)
5 Abstract harmonic analysis (43-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
3 Integral transforms, operational calculus (44-XX)
2 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Potential theory (31-XX)
2 General topology (54-XX)
2 Geophysics (86-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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