Edit Profile (opens in new tab) Takhtajan, Leon Armenovich Co-Author Distance Author ID: takhtajan.leon-a Published as: Takhtadzhyan, L. A.; Takhtajan, Leon A.; Takhtajan, L. A.; Takhtajan, Leon; Takhtadzhan, L. A.; Tahtadzjan, L. A.; Takhtajan, L.; Takhtadzhyan, L. more...less Further Spellings: Լևոն Թախտաջյան Homepage: http://www.math.stonybrook.edu/~leontak/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 114 Publications since 1973, including 6 Books and 5 Additional arXiv Preprints 6 Contributions as Editor · 1 Further Contribution Co-Authors: 55 Co-Authors with 84 Joint Publications 2,515 Co-Co-Authors all top 5 Co-Authors 36 single-authored 18 Faddeev, Lyudvig Dmitrievich 18 Zograf, Peter 13 Vinogradov, Askol’d Ivanovich 7 Teo, Lee-Peng 5 Reshetikhin, Nikolai Yu. 4 Aref’eva, Irina Yaroslavna 4 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 4 Shatashvili, Samson L. 4 Sklyanin, Evgeny K. 3 Ablowitz, Mark Jay 3 Ge, Molin 3 Niemi, Antti J. 3 Phua, Kok Khoo 3 Venkov, Alexei Borisovich 3 Zakharov, Vladimir Evgen’evich 2 Aldrovandi, Ettore 2 Alekseev, Anton Yur’evich 2 Its, Alexander Rudolfovich 2 Kozlov, Valeriĭ Vasil’evich 2 Krichever, Igor’ Moiseevich 2 Laptev, Ari 2 Maslov, Viktor Pavlovich 2 Novikov, Sergeĭ Petrovich 2 Polyakov, Aleksandr Markovich 2 Schimmer, Lukas 2 Smirnov, Fedor A. 2 Sternheimer, Daniel 1 Bukhshtaber, Viktor Matveevich 1 Buslaev, Vladimir Savel’evich 1 Chakravarty, Sarbarish 1 Chatterjee, Rupak 1 Choi, Changha 1 Dalets’kyĭ, Yuriĭ L’vovych 1 Dito, Giuseppe 1 Flato, Moshé 1 Fortov, Vladimir E. 1 Franchini, Fabio 1 Ibragimov, Il’dar Abdullovich 1 Jackiw, Roman W. 1 Keiser, James M. 1 Kislyakov, Sergeĭ Vital’evich 1 Korepin, Vladimir E. 1 Kulish, Petr Petrovich 1 Lehto, Olli E. 1 Lipatov, Lev N. 1 Lyubich, Mikhail 1 Mcintyre, Andrew 1 Meneses, Cláudio N. 1 Osipov, Yuriĭ Sergeevich 1 Park, Jinsung 1 Pi, So-Young 1 Rubakov, Valery A. 1 Simonov, Yuri A. 1 Sinaĭ, Yakov Grigor’evich 1 Slavnov, Andreĭ Alekseevich 1 Sokolov, I. A. 1 Velikhov, E. P. 1 Wilczek, Frank Anthony 1 Yang, Chen Ning (Frank) 1 Zhizhchenko, Alexey B. all top 5 Serials 9 Communications in Mathematical Physics 9 Journal of Soviet Mathematics 9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 6 Letters in Mathematical Physics 5 Russian Mathematical Surveys 4 Theoretical and Mathematical Physics 3 Modern Physics Letters A 3 Functional Analysis and its Applications 3 Mathematische Annalen 3 Soviet Mathematics. Doklady 3 Proceedings of the Steklov Institute of Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Physica D 2 Geometric and Functional Analysis. GAFA 2 Mathematics of the USSR, Sbornik 2 Izvestiya: Mathematics 1 Journal of Mathematical Physics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics of the USSR. Izvestiya 1 Memoirs of the American Mathematical Society 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Leningrad Mathematical Journal 1 L’Enseignement Mathématique. 2e Série 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Soviet Physics. Doklady 1 St. Petersburg Mathematical Journal 1 European Mathematical Society Newsletter 1 Annales Henri Poincaré 1 Quantum Information Processing 1 Graduate Studies in Mathematics 1 Proceedings of Symposia in Pure Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Classics in Mathematics all top 5 Fields 45 Quantum theory (81-XX) 35 Several complex variables and analytic spaces (32-XX) 22 Functions of a complex variable (30-XX) 22 Partial differential equations (35-XX) 20 Number theory (11-XX) 20 Dynamical systems and ergodic theory (37-XX) 18 Algebraic geometry (14-XX) 18 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 12 Nonassociative rings and algebras (17-XX) 9 Mechanics of particles and systems (70-XX) 8 Associative rings and algebras (16-XX) 7 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Relativity and gravitational theory (83-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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’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’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 cited Publications top 5 cited Publications 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. 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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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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