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## Mulase, Motohico

Compute Distance To:
 Author ID: mulase.motohico Published as: Mulase, M.; Mulase, Mothico; Mulase, Motohico
 Documents Indexed: 45 Publications since 1979, including 1 Book
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#### Co-Authors

 18 single-authored 6 Dumitrescu, Olivia 4 Safnuk, Brad 3 Penkava, Michael 2 Eynard, Bertrand 2 Li, Yingchen 2 Shadrin, Sergey V. 2 Sorkin, Adam 1 Borot, Gaëtan 1 Bouchard, Vincent 1 Chapman, Kevin M. 1 Dunin-Barkovskiĭ, Petr Igorevich 1 Hernández Serrano, Daniel 1 Hodge, Andrew R. 1 Liu, Chiu-Chu Melissa 1 Liu, Kefeng 1 Liu, Xiao-Jun 1 Liu, Xiao Jun 1 Norbury, Paul T. 1 Popolitov, Aleksandr 1 Rabin, Jeffrey M. 1 Safnuk, Bradley 1 Spitz, Loek 1 Sułkowski, Piotr 1 Waldron, Andrew K. 1 Xu, Hao 1 Yu, Josephine 1 Zhang, Naizhen
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#### Serials

 5 International Journal of Mathematics 3 Journal of Differential Geometry 3 Communications in Number Theory and Physics 2 Advances in Mathematics 2 Proceedings of the Japan Academy. Series A 2 The Asian Journal of Mathematics 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Indian Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Communications in Analysis and Geometry 1 Advances in Theoretical and Mathematical Physics 1 Proceedings of Symposia in Pure Mathematics
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#### Fields

 37 Algebraic geometry (14-XX) 22 Quantum theory (81-XX) 10 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Combinatorics (05-XX) 8 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Number theory (11-XX) 5 Ordinary differential equations (34-XX) 3 Commutative algebra (13-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

39 Publications have been cited 501 times in 307 Documents Cited by Year
A matrix model for simple Hurwitz numbers, and topological recursion. Zbl 1225.14043
Borot, Gaëtan; Eynard, Bertrand; Mulase, Motohico; Safnuk, Brad
2011
Ribbon graphs, quadratic differentials on Riemann surfaces, and algebraic curves defined over $$\overline{\mathbf Q}$$. Zbl 0964.30023
Mulase, M.; Penkava, M.
1998
The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers. Zbl 1225.14022
Eynard, Bertrand; Mulase, Motohico; Safnuk, Bradley
2011
Complete integrability of the Kadomtsev-Petviashvili equation. Zbl 0587.35083
Mulase, Motohico
1984
Cohomological structure in soliton equations and Jacobian varieties. Zbl 0559.35076
Mulase, Motohico
1984
Solvability of the super KP equation and generalized of the Birkhoff decomposition. Zbl 0666.35074
Mulase, Motohico
1988
The spectral curve of the Eynard-Orantin recursion via the Laplace transform. Zbl 1293.14007
2013
Algebraic theory of the KP equations. Zbl 0837.35132
Mulase, Motohico
1994
Mirzakhani’s recursion relations, Virasoro constraints and the KdV hierarchy. Zbl 1144.14030
2008
Category of vector bundles on algebraic curves and infinite dimensional Grassmannians. Zbl 0723.14010
Mulase, Motohico
1990
Spectral curves and the Schrödinger equations for the Eynard-Orantin recursion. Zbl 1342.81458
Mulase, Motohico; Sułkowski, Piotr
2015
Quantum curves for Hitchin fibrations and the Eynard-Orantin theory. Zbl 1296.14026
Dumitrescu, Olivia; Mulase, Motohico
2014
The spectral curve and the Schrödinger equation of double Hurwitz numbers and higher spin structures. Zbl 1283.14012
Mulase, Motohico; Shadrin, Sergei; Spitz, Loek
2013
Mirror symmetry for orbifold Hurwitz numbers. Zbl 1315.53100
Bouchard, Vincent; Serrano, Daniel Hernández; Liu, Xiaojun; Mulase, Motohico
2014
Polynomial recursion formula for linear Hodge integrals. Zbl 1239.14022
Mulase, Motohico; Zhang, Naizhen
2010
Duality of orthogonal and symplectic matrix integrals and quaternionic Feynman graphs. Zbl 1033.81062
Mulase, Motohico; Waldron, Andrew
2003
Topological recursion for the Poincaré polynomial of the combinatorial moduli space of curves. Zbl 1253.14030
Mulase, Motohico; Penkava, Michael
2012
A new super $$KP$$ system and a characterization of the Jacobians of arbitrary algebraic super curves. Zbl 0739.58004
Mulase, Motohico
1991
Quantum spectral curve for the Gromov-Witten theory of the complex projective line. Zbl 1364.14045
Dunin-Barkowski, Petr; Mulase, Motohico; Norbury, Paul; Popolitov, Alexander; Shadrin, Sergey
2017
Super Krichever functor. Zbl 0754.58003
Mulase, Motohico; Rabin, Jeffrey M.
1991
Non-commutative matrix integrals and representation varieties of surface groups in a finite group. Zbl 1092.15020
Mulase, Motohico; Yu, Josephine
2005
Lectures on the topological recursion for Higgs bundles and quantum curves. Zbl 1401.14001
Dumitrescu, Olivia; Mulase, Motohico
2018
Periods of Strebel differentials and algebraic curves defined over the field of algebraic numbers. Zbl 1077.30039
Mulase, Motohico; Penkava, Michael
2002
Prym varieties and integrable systems. Zbl 0920.14010
Li, Yingchen; Mulase, Mothico
1997
Asymptotic analysis of a Hermitian matrix integral. Zbl 0870.14019
Mulase, Motohico
1995
A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves. Zbl 0676.58010
Mulase, Motohico
1989
Algebraic geometry of soliton equations. Zbl 0536.58015
Mulase, Motohico
1983
Hitchin systems and KP equations. Zbl 0863.58036
Li, Yingchen; Mulase, Motohico
1996
An invitation to 2D TQFT and quantization of Hitchin spectral curves. Zbl 1428.14046
Dumitrescu, Olivia; Mulase, Motohico
2018
The Kontsevich constants for the volume of the moduli of curves and topological recursion. Zbl 1259.14028
Chapman, Kevin M.; Mulase, Motohico; Safnuk, Brad
2011
Hitchin integrable systems, deformations of spectral curves, and KP-type equations. Zbl 1233.14026
Hodge, Andrew R.; Mulase, Motohico
2010
Lectures on the asymptotic expansion of a Hermitian matrix integral. Zbl 0901.35092
Mulase, Motohico
1998
Edge contraction on dual ribbon graphs and 2D TQFT. Zbl 06807248
Dumitrescu, Olivia; Mulase, Motohico
2018
The Laplace transform, mirror symmetry, and the topological recursion of Eynard-Orantin. Zbl 1315.14054
Mulase, Motohico
2013
Matrix integrals and integrable systems. Zbl 0903.15007
Mulase, Motohico
1994
Poles of instantons and jumping lines of algebraic vector bundles on $$P^ 3$$. Zbl 0451.14004
Mulase, Motohico
1979
Geometric classification of $$\mathbb{Z}_ 2$$-commutative algebras of super differential operators. Zbl 0809.58041
Mulase, Motohico
1993
Normalization of the Krichever data. Zbl 0776.14011
Mulase, Motohico
1992
Geometric classification of commutative algebras of ordinary differential operators. Zbl 1210.14035
Mulase, Motohico
1990
Lectures on the topological recursion for Higgs bundles and quantum curves. Zbl 1401.14001
Dumitrescu, Olivia; Mulase, Motohico
2018
An invitation to 2D TQFT and quantization of Hitchin spectral curves. Zbl 1428.14046
Dumitrescu, Olivia; Mulase, Motohico
2018
Edge contraction on dual ribbon graphs and 2D TQFT. Zbl 06807248
Dumitrescu, Olivia; Mulase, Motohico
2018
Quantum spectral curve for the Gromov-Witten theory of the complex projective line. Zbl 1364.14045
Dunin-Barkowski, Petr; Mulase, Motohico; Norbury, Paul; Popolitov, Alexander; Shadrin, Sergey
2017
Spectral curves and the Schrödinger equations for the Eynard-Orantin recursion. Zbl 1342.81458
Mulase, Motohico; Sułkowski, Piotr
2015
Quantum curves for Hitchin fibrations and the Eynard-Orantin theory. Zbl 1296.14026
Dumitrescu, Olivia; Mulase, Motohico
2014
Mirror symmetry for orbifold Hurwitz numbers. Zbl 1315.53100
Bouchard, Vincent; Serrano, Daniel Hernández; Liu, Xiaojun; Mulase, Motohico
2014
The spectral curve of the Eynard-Orantin recursion via the Laplace transform. Zbl 1293.14007
2013
The spectral curve and the Schrödinger equation of double Hurwitz numbers and higher spin structures. Zbl 1283.14012
Mulase, Motohico; Shadrin, Sergei; Spitz, Loek
2013
The Laplace transform, mirror symmetry, and the topological recursion of Eynard-Orantin. Zbl 1315.14054
Mulase, Motohico
2013
Topological recursion for the Poincaré polynomial of the combinatorial moduli space of curves. Zbl 1253.14030
Mulase, Motohico; Penkava, Michael
2012
A matrix model for simple Hurwitz numbers, and topological recursion. Zbl 1225.14043
Borot, Gaëtan; Eynard, Bertrand; Mulase, Motohico; Safnuk, Brad
2011
The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers. Zbl 1225.14022
Eynard, Bertrand; Mulase, Motohico; Safnuk, Bradley
2011
The Kontsevich constants for the volume of the moduli of curves and topological recursion. Zbl 1259.14028
Chapman, Kevin M.; Mulase, Motohico; Safnuk, Brad
2011
Polynomial recursion formula for linear Hodge integrals. Zbl 1239.14022
Mulase, Motohico; Zhang, Naizhen
2010
Hitchin integrable systems, deformations of spectral curves, and KP-type equations. Zbl 1233.14026
Hodge, Andrew R.; Mulase, Motohico
2010
Mirzakhani’s recursion relations, Virasoro constraints and the KdV hierarchy. Zbl 1144.14030
2008
Non-commutative matrix integrals and representation varieties of surface groups in a finite group. Zbl 1092.15020
Mulase, Motohico; Yu, Josephine
2005
Duality of orthogonal and symplectic matrix integrals and quaternionic Feynman graphs. Zbl 1033.81062
Mulase, Motohico; Waldron, Andrew
2003
Periods of Strebel differentials and algebraic curves defined over the field of algebraic numbers. Zbl 1077.30039
Mulase, Motohico; Penkava, Michael
2002
Ribbon graphs, quadratic differentials on Riemann surfaces, and algebraic curves defined over $$\overline{\mathbf Q}$$. Zbl 0964.30023
Mulase, M.; Penkava, M.
1998
Lectures on the asymptotic expansion of a Hermitian matrix integral. Zbl 0901.35092
Mulase, Motohico
1998
Prym varieties and integrable systems. Zbl 0920.14010
Li, Yingchen; Mulase, Mothico
1997
Hitchin systems and KP equations. Zbl 0863.58036
Li, Yingchen; Mulase, Motohico
1996
Asymptotic analysis of a Hermitian matrix integral. Zbl 0870.14019
Mulase, Motohico
1995
Algebraic theory of the KP equations. Zbl 0837.35132
Mulase, Motohico
1994
Matrix integrals and integrable systems. Zbl 0903.15007
Mulase, Motohico
1994
Geometric classification of $$\mathbb{Z}_ 2$$-commutative algebras of super differential operators. Zbl 0809.58041
Mulase, Motohico
1993
Normalization of the Krichever data. Zbl 0776.14011
Mulase, Motohico
1992
A new super $$KP$$ system and a characterization of the Jacobians of arbitrary algebraic super curves. Zbl 0739.58004
Mulase, Motohico
1991
Super Krichever functor. Zbl 0754.58003
Mulase, Motohico; Rabin, Jeffrey M.
1991
Category of vector bundles on algebraic curves and infinite dimensional Grassmannians. Zbl 0723.14010
Mulase, Motohico
1990
Geometric classification of commutative algebras of ordinary differential operators. Zbl 1210.14035
Mulase, Motohico
1990
A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves. Zbl 0676.58010
Mulase, Motohico
1989
Solvability of the super KP equation and generalized of the Birkhoff decomposition. Zbl 0666.35074
Mulase, Motohico
1988
Complete integrability of the Kadomtsev-Petviashvili equation. Zbl 0587.35083
Mulase, Motohico
1984
Cohomological structure in soliton equations and Jacobian varieties. Zbl 0559.35076
Mulase, Motohico
1984
Algebraic geometry of soliton equations. Zbl 0536.58015
Mulase, Motohico
1983
Poles of instantons and jumping lines of algebraic vector bundles on $$P^ 3$$. Zbl 0451.14004
Mulase, Motohico
1979
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#### Cited by 399 Authors

 13 Eynard, Bertrand 12 Mulase, Motohico 12 Shadrin, Sergey V. 11 Plaza Martín, Francisco José 9 Norbury, Paul T. 9 Takasaki, Kanehisa 8 Dunin-Barkovskiĭ, Petr Igorevich 8 Harnad, John 8 Sułkowski, Piotr 7 Lewanski, Danilo 7 Marchal, Olivier 7 Popolitov, Aleksandr 6 Bouchard, Vincent 6 Mañas, Manuel 6 Zheglov, Alexander B. 5 Borot, Gaëtan 5 Do, Norman 5 Muñoz Porras, José María 5 Orantin, Nicolas 5 Reyes, Enrique G. 4 Chekhov, Leonid O. 4 Felipe, Raúl 4 Gupta, Subhojoy 4 Helminck, Gerardus Franciscus 4 Iwaki, Kohei 4 Kramer, Reinier 4 Manabe, Masahide 4 Mironov, Andrei D. 4 Penner, Robert C. 4 Rabin, Jeffrey M. 4 Schwarz, Albert S. 3 Álvarez-Fernández, Carlos 3 Álvarez Vázquez, Arturo 3 Anas Hahn, Marvin 3 Andersen, Jørgen Ellegaard 3 Ariznabarreta, Gerardo 3 Bertola, Marco 3 Chapuy, Guillaume 3 Ciosmak, Paweł 3 Dumitrescu, Olivia 3 Falqui, Gregorio 3 Hadasz, Leszek 3 Hernández Serrano, Daniel 3 Magnot, Jean-Pierre 3 Mariño, Marcos 3 Morozov, Al’bert Dmitrievich 3 Nakamura, Yoshimasa 3 Osuga, Kento 3 Previato, Emma 3 Spitz, Loek 3 van de Leur, Johan W. 3 Wolf, Michael 3 Zhu, Shengmao 2 Alexandrov, Alexander Sergeevich 2 Ambjørn, Jan 2 Belliard, Raphael 2 Beltran, Jarnishs 2 Bergvelt, Maarten J. 2 Brini, Andrea 2 Burban, Igor 2 Carroll, Robert L. 2 Demidov, E. E. 2 Fuji, Hiroyuki 2 Gómez González, Esteban 2 Goodall, Andrew J. 2 Guay-Paquet, Mathieu 2 Habibi, Mohammad Hassan 2 Helminck, Aloysius G. 2 Ikeda, Kaoru 2 Kac, Victor G. 2 Karev, Max 2 Kashani-Poor, Amir-Kian 2 Kazaryan, Maxim Eduardovich 2 Kucharski, Piotr 2 Li, Chuanzhong 2 Liou, Jia-Ming (Frank) 2 Liu, Chiu-Chu Melissa 2 Liu, Kefeng 2 Longhi, Pietro 2 Luu, Martin T. 2 Manin, Yuri Ivanovich 2 Martínez Alonso, Luis 2 Mathews, Daniel V. 2 Nakayashiki, Atsushi 2 Natanzon, Sergei M. 2 Osipov, Denis Vasil’evich 2 Panasenko, Elena A. 2 Penkava, Michael 2 Redelmeier, Catherine Emily Iska 2 Regts, Guus 2 Reina, Cesare 2 Safnuk, Brad 2 Schaposnik, Laura P. 2 Shakirov, Sh. R. 2 Shiota, Takahiro 2 Tejero Prieto, Carlos 2 Vanhaecke, Pol 2 Vanini, Paolo 2 Vena, Lluís 2 Wang, Gehao ...and 299 more Authors
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#### Cited in 97 Serials

 33 Communications in Mathematical Physics 28 Journal of High Energy Physics 22 Journal of Geometry and Physics 18 Journal of Mathematical Physics 14 Letters in Mathematical Physics 11 Advances in Mathematics 9 Annales Henri Poincaré 7 Transactions of the American Mathematical Society 7 International Journal of Mathematics 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Journal of Mathematical Sciences (New York) 5 Theoretical and Mathematical Physics 5 Geometriae Dedicata 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Nuclear Physics. B 4 Duke Mathematical Journal 4 Mathematische Annalen 4 Physica D 4 Journal of Nonlinear Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Functional Analysis and its Applications 3 Inventiones Mathematicae 3 Journal of Algebra 3 Acta Applicandae Mathematicae 3 Differential Geometry and its Applications 3 Selecta Mathematica. New Series 3 Geometry & Topology 2 International Journal of Modern Physics A 2 Communications in Algebra 2 Physics Letters. A 2 Annales de l’Institut Fourier 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Complex Analysis and Operator Theory 2 Science China. Mathematics 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 European Journal of Combinatorics 1 Applied Mathematics and Mechanics. (English Edition) 1 Graphs and Combinatorics 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Knot Theory and its Ramifications 1 Journal of Nonlinear Science 1 Journal of Algebraic Combinatorics 1 Calculus of Variations and Partial Differential Equations 1 Algebra Colloquium 1 Combinatorics, Probability and Computing 1 St. Petersburg Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Documenta Mathematica 1 Differential Equations and Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Annals of Combinatorics 1 Lobachevskii Journal of Mathematics 1 Algebraic & Geometric Topology 1 Computational Methods and Function Theory 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Journal of Fixed Point Theory and Applications 1 Journal of Topology and Analysis 1 Ars Mathematica Contemporanea 1 Advances in Mathematical Physics 1 Journal de l’École Polytechnique – Mathématiques
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#### Cited in 43 Fields

 141 Algebraic geometry (14-XX) 108 Quantum theory (81-XX) 93 Dynamical systems and ergodic theory (37-XX) 52 Partial differential equations (35-XX) 41 Combinatorics (05-XX) 37 Global analysis, analysis on manifolds (58-XX) 28 Nonassociative rings and algebras (17-XX) 24 Several complex variables and analytic spaces (32-XX) 24 Differential geometry (53-XX) 21 Manifolds and cell complexes (57-XX) 20 Relativity and gravitational theory (83-XX) 19 Functions of a complex variable (30-XX) 17 Special functions (33-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 13 Number theory (11-XX) 12 Probability theory and stochastic processes (60-XX) 11 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Associative rings and algebras (16-XX) 10 Topological groups, Lie groups (22-XX) 8 Group theory and generalizations (20-XX) 7 Commutative algebra (13-XX) 7 Operator theory (47-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 4 Category theory; homological algebra (18-XX) 4 Mechanics of particles and systems (70-XX) 3 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 $$K$$-theory (19-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX)