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 Videos: carmin.tv Documents Indexed: 114 Publications since 1973, including 6 Books and 3 Additional arXiv Preprints 7 Contributions as Editor · 1 Further Contribution Co-Authors: 55 Co-Authors with 85 Joint Publications 2,651 Co-Co-Authors all top 5 Co-Authors 36 single-authored 19 Zograf, Peter 18 Faddeev, Lyudvig Dmitrievich 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 Novikov, Sergeĭ Petrovich 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 Laptev, Ari 2 Maslov, Viktor Pavlovich 2 Polyakov, Aleksandr Markovich 2 Schimmer, Lukas 2 Smirnov, Fedor A. 2 Sternheimer, Daniel 1 Arbarello, Enrico 1 Braverman, Alexander 1 Brazovski, Serguei 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 Drinfeld, Vladimir Gershonovich 1 Dzhamay, Anton 1 Etingof, Pavel Il’ich 1 Flato, Moshé 1 Fortov, Vladimir E. 1 Franchini, Fabio 1 Grushevsky, Samuel 1 Ibragimov, Il’dar Abdullovich 1 Jackiw, Roman W. 1 Keiser, James M. 1 Kislyakov, Sergeĭ Vital’evich 1 Korepin, Vladimir E. 1 Krichever, Igor’ Moiseevich 1 Kulish, Petr Petrovich 1 Lipatov, Lev N. 1 Lyubich, Mikhail 1 Mcintyre, Andrew 1 Meneses, Cláudio N. 1 Nekrasov, Nikita Alexandrovich 1 Okun’kov, Andreĭ Yur’evich 1 Osipov, Yuriĭ Sergeevich 1 Park, Jinsung 1 Phong, Duong Hong 1 Pi, So-Young 1 Rubakov, Valery A. 1 Simonov, Yuri A. 1 Sinaĭ, Yakov Grigor’evich 1 Slavnov, Andreĭ Alekseevich 1 Smoliarova, Tatiana 1 Sokolov, I. A. 1 Varchenko, Alexander Nikolaevich 1 Velikhov, E. P. 1 Veselov, Alexander Petrovich 1 Wiegmann, Paul B. 1 Wilczek, Frank Anthony 1 Yang, Chen-Ning 1 Zabrodin, Anton V. 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 7 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 Notices of the American Mathematical Society 1 St. Petersburg Mathematical Journal 1 European Mathematical Society Newsletter 1 Journal of High Energy Physics 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 44 Quantum theory (81-XX) 37 Several complex variables and analytic spaces (32-XX) 23 Functions of a complex variable (30-XX) 22 Partial differential equations (35-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Number theory (11-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Algebraic geometry (14-XX) 18 Differential geometry (53-XX) 12 Nonassociative rings and algebras (17-XX) 9 Mechanics of particles and systems (70-XX) 8 Associative rings and algebras (16-XX) 7 History and biography (01-XX) 7 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 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 3,643 times in 3,016 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. 384 2007 Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Zbl 0632.58004 Faddeev, L. D.; Takhtadzhyan, L. A. 381 1987 Quantization of Lie groups and Lie algebras. Zbl 0715.17015 Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 380 1990 Quantum inverse problem method. I. Zbl 1138.37331 Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D. 266 1980 On foundation of the generalized Nambu mechanics. Zbl 0808.70015 Takhtajan, Leon 261 1994 The quantum inverse problem method. I. Zbl 0449.35096 Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A. 223 1979 Hamiltonian methods in the theory of solitons. (Гамил’тонов подход в теории солитонов.) Zbl 0632.58003 Takhtadzhyan, L. A.; Faddeev, L. D. 210 1986 The spectral theory of a functional-difference operator in conformal field theory. Zbl 1327.39013 Takhtajan, L. A.; Faddeev, L. D. 145 2015 Weil-Petersson metric on the universal Teichmüller space. Zbl 1243.32010 Takhtajan, Leon A.; Teo, Lee-Peng 101 2006 Quantization of Lie groups and Lie algebras. Zbl 0677.17010 Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 99 1989 Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0532.47009 Faddeev, L. D.; Takhtadzhyan, L. A. 85 1984 Leibniz and Lie algebra structures for Nambu algebra. Zbl 0869.58024 Daletskii, Yuri L.; Takhtajan, Leon A. 76 1997 Quantum mechanics for mathematicians. Zbl 1156.81004 Takhtajan, Leon A. 57 2008 Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051 Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D. 47 1974 On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces. Zbl 0663.32017 Zograf, P. G.; Takhtadzhyan, L. A. 47 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. 46 1993 Essentially nonlinear one-dimensional model of classical field theory. Zbl 0299.35063 Tahtadzjan, L. A.; Faddeev, L. D. 41 1975 Deformation quantization and Nambu mechanics. Zbl 0877.70012 Dito, G.; Flato, M.; Sternheimer, D.; Takhtajan, L. 39 1997 Hyperbolic \(2\)-spheres with conical singularities, accessory parameters and Kähler metrics on \({\mathcal{M}}_{0,n}\). Zbl 1075.32006 Takhtajan, Leon; Zograf, Peter 36 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. 35 1988 Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography. Zbl 1065.30046 Takhtajan, Leon A.; Teo, Lee-Peng 35 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. 33 1991 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. 30 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. 23 2016 Topics in the quantum geometry of Riemann surfaces: Two-dimensional quantum gravity. Zbl 0919.17022 Takhtajan, L. A. 20 1996 Deformation quantization of Kähler manifolds. Zbl 1003.53061 Reshetikhin, N.; Takhtajan, L. A. 19 2000 The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0471.47009 Takhtadzhyan, L. A.; Faddeev, L. D. 17 1981 Free bosons and tau-functions for compact Riemann surfaces and closed smooth Jordan curves. Current correlation functions. Zbl 1072.14521 Takhtajan, Leon A. 17 2001 Aspects of classical and quantum Nambu mechanics. Zbl 0861.70018 Chatterjee, Rupak; Takhtajan, Leon 16 1996 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. 15 1978 Liouville theory: Quantum geometry of Riemann surfaces. Zbl 1021.81891 Takhtajan, Leon A. 15 1993 A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of \(n\)-gebras. Zbl 0833.17021 Takhtajan, L. A. 15 1994 A simple example of modular forms as tau-functions for integrable equations. Zbl 0794.35114 Takhtadzhyan, L. A. 14 1992 On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces. Zbl 0642.32011 Zograf, P. G.; Takhtadzhyan, L. A. 14 1987 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. 13 1986 A local index theorem for families of \(\overline{\partial}\)-operators on Riemann surfaces. Zbl 0659.58043 Zograf, P. G.; Takhtadzhyan, L. A. 13 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. 13 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 Poisson structure for the KdV equation. Zbl 0595.35093 Faddeev, L. D.; Takhtadzhan, L. A. 12 1985 Equivalence of geometric \(h<1/2\) and standard \(c>25\) approaches to two-dimensional quantum gravity. Zbl 1022.81750 Takhtajan, Leon A. 12 1996 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. 11 2011 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. 11 1987 Elementary introduction to quantum groups. Zbl 0820.17013 Takhtajan, L. A. 11 1993 Quantum groups. Zbl 0716.17010 Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L. 11 1989 Quantum Liouville theory in the background field formalism. I: Compact Riemann surfaces. Zbl 1114.32007 Takhtajan, Leon A.; Teo, Lee-Peng 10 2006 Local index theorem for orbifold Riemann surfaces. Zbl 1417.58024 Takhtajan, Leon A.; Zograf, Peter 10 2019 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 The Hamiltonian system connected with the equation \(u_{\xi,\eta}+\sin u=0\). Zbl 0412.35065 Takhtadzhyan, L. A.; Faddeev, L. D. 9 1976 A local index theorem for families of \({\bar \partial}\)-operators on Riemann surfaces. Zbl 0699.58061 Zograf, P. G.; Takhtadzhyan, L. A. 9 1987 Noncommutative homology of quantum tori. Zbl 0708.19003 Takhtadzhyan, L. A. 9 1989 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 8 2017 Introduction to quantum groups. Zbl 0735.17009 Takhtadzhyan, L. A. 8 1990 The first Chern form on moduli of parabolic bundles. Zbl 1156.14028 Takhtajan, Leon A.; Zograf, Peter 8 2008 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. 8 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. 8 1997 Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0534.10039 Vinogradov, A. I.; Takhtadzhyan, L. A. 8 1984 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 On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0689.53037 Zograf, P. G.; Takhtadzhyan, L. A. 7 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 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 Liouville theory: Ward identities for generating functional and modular geometry. Zbl 1021.81892 Takhtajan, Leon A. 6 1994 Modular forms as \(\tau\)-functions for certain integrable reductions of the Yang-Mills equations. Zbl 0814.35110 Takhtajan, Leon A. 5 1993 Quantum groups and integrable models. Zbl 0698.16008 Takhtadzhan, L. A. 5 1989 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. 4 2017 Weyl asymptotics for perturbed functional difference operators. Zbl 1427.81063 Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A. 4 2019 Etudes of the resolvent. Zbl 1440.47004 Takhtajan, Leon A. 4 2020 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 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 Weil-Petersson geometry of the universal Teichmüller space. Zbl 1142.32300 Takhtajan, Leon A.; Teo, Lee-Peng 3 2005 The quantum inverse problem method and the XYZ Heisenberg model. Zbl 1194.81247 Takhtajan, Leon A. 3 1981 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 Integrable models in classical and quantum field theory. Zbl 0569.47010 Takhtajan, L. A. 3 1984 Quantum field theories on algebraic curves. I. Additive bosons. Zbl 1270.81128 Takhtajan, L. A. 2 2013 Explicit computation of the Chern character forms. Zbl 1355.32016 Takhtajan, Leon A. 2 2016 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 Hamiltonian systems connected with the Dirac equation. Zbl 0404.35087 Tahtadzjan, L. A. 2 1977 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 Quantum field theories on an algebraic curve. Zbl 1024.81016 Takhtajan, Leon A. 2 2000 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 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 Simple connection between the geometric and the Hamiltonian representations of integrable nonlinear equations. Zbl 0562.35088 Takhtadzhyan, L. A.; Faddeev, L. D. 2 1985 Trace formulas for the modified Mathieu equation. Zbl 1515.47060 Takhtajan, Leon A. 1 2021 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 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 Logarithmic connections, WZNW action, and moduli of parabolic bundles on the sphere. Zbl 1535.14082 Meneses, Claudio; Takhtajan, Leon A. 1 2021 Ludwig Faddeev memorial volume. A life in mathematical physics. Zbl 1398.81011 1 2018 The potential of the Weil-Petersson metric on Torelli space. Zbl 0631.32020 Zograf, P. G.; Takhtadzhyan, L. A. 1 1987 Integrable cellular automata and AKNS hierarchy. Zbl 0860.35117 Takhtajan, Leon A. 1 1996 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 Potential of the Weil-Petersson metric on the Torelli space. Zbl 0900.32007 Zograf, P. G.; Takhtadzhyan, L. A. 1 1987 Goldman form, flat connections and stable vector bundles. Zbl 1502.14032 Takhtajan, Leon A. 1 2022 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 1535.14082 Meneses, Claudio; Takhtajan, Leon A. 1 2021 Etudes of the resolvent. Zbl 1440.47004 Takhtajan, Leon A. 4 2020 Local index theorem for orbifold Riemann surfaces. Zbl 1417.58024 Takhtajan, Leon A.; Zograf, Peter 10 2019 Weyl asymptotics for perturbed functional difference operators. Zbl 1427.81063 Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A. 4 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 8 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. 4 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. 23 2016 Explicit computation of the Chern character forms. Zbl 1355.32016 Takhtajan, Leon A. 2 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. 2 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. 11 2011 Quantum mechanics for mathematicians. Zbl 1156.81004 Takhtajan, Leon A. 57 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. 384 2007 Weil-Petersson metric on the universal Teichmüller space. Zbl 1243.32010 Takhtajan, Leon A.; Teo, Lee-Peng 101 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. 30 2006 Quantum Liouville theory in the background field formalism. I: Compact Riemann surfaces. Zbl 1114.32007 Takhtajan, Leon A.; Teo, Lee-Peng 10 2006 Weil-Petersson geometry of the universal Teichmüller space. Zbl 1142.32300 Takhtajan, Leon A.; Teo, Lee-Peng 3 2005 Hyperbolic \(2\)-spheres with conical singularities, accessory parameters and Kähler metrics on \({\mathcal{M}}_{0,n}\). Zbl 1075.32006 Takhtajan, Leon; Zograf, Peter 36 2003 Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography. Zbl 1065.30046 Takhtajan, Leon A.; Teo, Lee-Peng 35 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. 17 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. 2 2000 Leibniz and Lie algebra structures for Nambu algebra. Zbl 0869.58024 Daletskii, Yuri L.; Takhtajan, Leon A. 76 1997 Deformation quantization and Nambu mechanics. Zbl 0877.70012 Dito, G.; Flato, M.; Sternheimer, D.; Takhtajan, L. 39 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. 8 1997 Topics in the quantum geometry of Riemann surfaces: Two-dimensional quantum gravity. Zbl 0919.17022 Takhtajan, L. A. 20 1996 Aspects of classical and quantum Nambu mechanics. Zbl 0861.70018 Chatterjee, Rupak; Takhtajan, Leon 16 1996 Equivalence of geometric \(h<1/2\) and standard \(c>25\) approaches to two-dimensional quantum gravity. Zbl 1022.81750 Takhtajan, Leon A. 12 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 261 1994 A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of \(n\)-gebras. Zbl 0833.17021 Takhtajan, L. A. 15 1994 Liouville theory: Ward identities for generating functional and modular geometry. Zbl 1021.81892 Takhtajan, Leon A. 6 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. 46 1993 Liouville theory: Quantum geometry of Riemann surfaces. Zbl 1021.81891 Takhtajan, Leon A. 15 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 A simple example of modular forms as tau-functions for integrable equations. Zbl 0794.35114 Takhtadzhyan, L. A. 14 1992 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 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. 33 1991 Quantization of Lie groups and Lie algebras. Zbl 0715.17015 Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 380 1990 Introduction to quantum groups. Zbl 0735.17009 Takhtadzhyan, L. A. 8 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. 99 1989 Quantum groups. Zbl 0716.17010 Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L. 11 1989 Noncommutative homology of quantum tori. Zbl 0708.19003 Takhtadzhyan, L. A. 9 1989 On the geometry of moduli spaces of vector bundles over a Riemann surface. Zbl 0689.53037 Zograf, P. G.; Takhtadzhyan, L. A. 7 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 and integrable models. Zbl 0698.16008 Takhtadzhan, L. A. 5 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. 47 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. 35 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. 381 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. 14 1987 A local index theorem for families of \(\overline{\partial}\)-operators on Riemann surfaces. Zbl 0659.58043 Zograf, P. G.; Takhtadzhyan, L. A. 13 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. 11 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. 210 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. 13 1986 Poisson structure for the KdV equation. Zbl 0595.35093 Faddeev, L. D.; Takhtadzhan, L. A. 12 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. 8 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. 85 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. 13 1984 Analogues of the Gauss-Vinogradov formula on the critical line. Zbl 0534.10039 Vinogradov, A. I.; Takhtadzhyan, L. A. 8 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. 3 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. 17 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. 266 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. 223 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. 15 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. 9 1976 Essentially nonlinear one-dimensional model of classical field theory. Zbl 0299.35063 Tahtadzjan, L. A.; Faddeev, L. D. 41 1975 Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051 Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D. 47 1974 all cited Publications top 5 cited Publications all top 5 Cited by 2,966 Authors 47 Doikou, Anastasia 42 Slavnov, Nikita A. 35 Prykarpatsky, Anatoliy Karolevych 30 Takhtajan, Leon Armenovich 29 Ragoucy, Eric 23 Guha, Partha 22 Crampé, Nicolas 22 Gerdzhikov, Vladimir Stefanov 21 Biondini, Gino 21 Kulish, Petr Petrovich 21 Maillet, Jean-Michel 21 Skrypnyk, Taras Volodymyrovych 19 Kozlowski, Karol Kajetan 19 Mudrov, Andrey I. 19 Niccoli, Giuliano 18 Belliard, Samuel 18 Prinari, Barbara 18 Shen, Yuliang 18 Van der Mee, Cornelis Victor Maria 17 Bai, Ruipu 17 Derkachëv, Sergeĭ Èduardovich 17 Jing, Naihuan 17 Terras, Véronique 16 Demontis, Francesco 16 Pakuliak, Stanislav Z. 16 Prykarpatsky, Yarema Anatoliyovych 16 Schippers, Eric D. 16 Zotov, Andrei V. 15 Khasanov, Aknazar Bekdurdievich 15 Sakhnovich, Alexander L. 14 Bazhanov, Vladimir V. 14 Caudrelier, Vincent 14 Gurevich, Dmitrii 14 Motegi, Kohei 14 Reshetikhin, Nikolai Yu. 13 Ablowitz, Mark Jay 13 Karakhanyan, David 13 Kirschner, Roland 13 Lukyanov, Sergei L. 13 Makhlouf, Abdenacer 13 Shepel’skyĭ, Dmytro Georgiĭovych 13 Silvestrov, Sergei D. 13 Staubach, Wolfgang 13 Yan, Zhenya 12 Avan, Jean 12 Blackmore, Denis L. 12 Its, Alexander Rudolfovich 12 Majid, Shahn 12 Talalov, Sergeĭ Vladimirovich 12 Teo, Lee-Peng 12 Yang, Wenli 12 Zhou, Ruguang 11 Korepin, Vladimir E. 11 Nepomechie, Rafael I. 11 Zabrodin, Anton V. 10 Biswas, Indranil 10 Bogolyubov, Nikolaĭ Mikhaĭlovich 10 Cao, Junpeng 10 Çelik, Salih 10 Grahovski, Georgi G. 10 Hu, Naihong 10 Ivanov, Rossen I. 10 Manashov, Alexander N. 10 Mariño, Marcos 10 Saponov, Pavel A. 10 Sheng, Yunhe 10 Vakhnenko, Oleksiy O. 10 Wei, Huaying 10 Zhang, Jian 9 Casas Miras, José Manuel 9 Domrin, Andrei Victorovich 9 Galleas, Wellington 9 Gao, Peng 9 Geng, Xianguo 9 Isaev, Alekseĭ Petrovich 9 Korotkin, Dmitrii A. 9 Links, Jon Robert 9 Manojlović, Nenad 9 Molev, Alexander I. 9 Radnell, David 9 Teschl, Gerald 9 Tian, Shoufu 9 Zhao, Liangyi 8 Abramov, Viktor 8 Bai, Chengming 8 Dubrovin, Boris Anatol’evich 8 Faddeev, Lyudvig Dmitrievich 8 Göhmann, Frank 8 Gorskiĭ, Aleksandr Sergeevich 8 Khoitmetov, Umid Azadovich 8 Kundu, Anjan 8 Landi, Giovanni 8 Ling, Liming 8 Mabrouk, Sami 8 Menotti, Pietro 8 Mironov, Andrei D. 8 Rubtsov, Vladimir Nikolaevich 8 Tang, ShuAn 8 Torrielli, Alessandro 8 Vinogradov, Askol’d Ivanovich ...and 2,866 more Authors all top 5 Cited in 331 Serials 225 Nuclear Physics. 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Mathematica 5 Quantum Information Processing 5 Frontiers of Mathematics in China 5 Journal of Noncommutative Geometry 4 Archive for Rational Mechanics and Analysis 4 General Relativity and Gravitation 4 Journal of Computational Physics ...and 231 more Serials all top 5 Cited in 60 Fields 1,140 Quantum theory (81-XX) 813 Partial differential equations (35-XX) 786 Dynamical systems and ergodic theory (37-XX) 721 Nonassociative rings and algebras (17-XX) 482 Statistical mechanics, structure of matter (82-XX) 347 Associative rings and algebras (16-XX) 241 Differential geometry (53-XX) 198 Global analysis, analysis on manifolds (58-XX) 180 Functions of a complex variable (30-XX) 162 Algebraic geometry (14-XX) 141 Several complex variables and analytic spaces (32-XX) 137 Mechanics of particles and systems (70-XX) 131 Relativity and gravitational theory (83-XX) 112 Ordinary differential equations (34-XX) 106 Group theory and generalizations (20-XX) 99 Functional analysis (46-XX) 97 Number theory (11-XX) 76 Operator theory (47-XX) 73 Difference and functional equations (39-XX) 66 Topological groups, Lie groups (22-XX) 64 Special functions (33-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 41 Fluid mechanics (76-XX) 39 Numerical analysis (65-XX) 35 Combinatorics (05-XX) 33 Category theory; homological algebra (18-XX) 32 Manifolds and cell complexes (57-XX) 32 Probability theory and stochastic processes (60-XX) 31 Optics, electromagnetic theory (78-XX) 23 Integral equations (45-XX) 20 Commutative algebra (13-XX) 17 Approximations and expansions (41-XX) 16 Algebraic topology (55-XX) 15 Real functions (26-XX) 14 Mechanics of deformable solids (74-XX) 13 Statistics (62-XX) 11 Computer science (68-XX) 10 \(K\)-theory (19-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Biology and other natural sciences (92-XX) 7 Geometry (51-XX) 6 History and biography (01-XX) 6 Potential theory (31-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Information and communication theory, circuits (94-XX) 5 Measure and integration (28-XX) 5 Abstract harmonic analysis (43-XX) 5 Integral transforms, operational calculus (44-XX) 5 Convex and discrete geometry (52-XX) 4 General and overarching topics; collections (00-XX) 4 General algebraic systems (08-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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