# zbMATH — the first resource for mathematics

## Orantin, Nicolas

Compute Distance To:
 Author ID: orantin.nicolas Published as: Orantin, N.; Orantin, Nicolas External Links: MGP · Wikidata
 Documents Indexed: 17 Publications since 2006
all top 5

#### Co-Authors

 1 single-authored 6 Eynard, Bertrand 5 Dunin-Barkovskiĭ, Petr Igorevich 5 Shadrin, Sergey V. 3 Popolitov, Aleksandr 2 Borot, Gaëtan 2 Norbury, Paul T. 2 Spitz, Loek 1 Adler, Mark 1 Andersen, Jørgen Ellegaard 1 Chekhov, Leonid O. 1 Kazaryan, Maxim Eduardovich 1 Kostov, Ivan K. 1 Marchal, Olivier 1 van Moerbeke, Pierre 1 Véliz-Osorio, Alvaro
all top 5

#### Serials

 3 Journal of High Energy Physics 2 Communications in Mathematical Physics 2 Journal of Physics A: Mathematical and Theoretical 2 Communications in Number Theory and Physics 1 Journal of Mathematical Physics 1 Advances in Mathematics 1 Physica D 1 IMRN. International Mathematics Research Notices 1 Journal of the Institute of Mathematics of Jussieu
all top 5

#### Fields

 10 Quantum theory (81-XX) 9 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Differential geometry (53-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

13 Publications have been cited 465 times in 255 Documents Cited by Year
Invariants of algebraic curves and topological expansion. Zbl 1161.14026
Eynard, B.; Orantin, N.
2007
Topological recursion in enumerative geometry and random matrices. Zbl 1177.82049
Eynard, Bertrand; Orantin, Nicolas
2009
Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture. Zbl 1365.14072
Eynard, B.; Orantin, N.
2015
Identification of the Givental formula with the spectral curve topological recursion procedure. Zbl 1293.53090
Dunin-Barkowski, P.; Orantin, N.; Shadrin, S.; Spitz, L.
2014
Free energy topological expansion for the 2-matrix model. Zbl 1226.81250
Chekhov, Leonid; Eynard, Bertrand; Orantin, Nicolas
2006
Topological expansion of mixed correlations in the Hermitian 2-matrix model and $$x-y$$ symmetry of the $$F_{g}$$ algebraic invariants. Zbl 1134.81040
Eynard, B.; Orantin, N.
2008
Abstract loop equations, topological recursion and new applications. Zbl 1329.14074
Borot, Gaëtan; Eynard, Bertrand; Orantin, Nicolas
2015
Universality for the Pearcey process. Zbl 1189.82085
Adler, Mark; Orantin, Nicolas; van Moerbeke, Pierre
2010
Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula. Zbl 1318.14051
Dunin-Barkowski, P.; Kazarian, M.; Orantin, N.; Shadrin, S.; Spitz, L.
2015
CFT and topological recursion. Zbl 1294.81211
Kostov, Ivan; Orantin, Nicolas
2010
Combinatorics of loop equations for branched covers of sphere. Zbl 1408.14114
Dunin-Barkowski, Petr; Orantin, Nicolas; Popolitov, Aleksandr; Shadrin, Sergey
2018
Chain of matrices, loop equations, and topological recursion. Zbl 1236.15073
Orantin, N.
2011
Dubrovin’s superpotential as a global spectral curve. Zbl 1414.53079
Dunin-Barkowski, P.; Norbury, P.; Orantin, N.; Popolitov, A.; Shadrin, S.
2019
Dubrovin’s superpotential as a global spectral curve. Zbl 1414.53079
Dunin-Barkowski, P.; Norbury, P.; Orantin, N.; Popolitov, A.; Shadrin, S.
2019
Combinatorics of loop equations for branched covers of sphere. Zbl 1408.14114
Dunin-Barkowski, Petr; Orantin, Nicolas; Popolitov, Aleksandr; Shadrin, Sergey
2018
Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture. Zbl 1365.14072
Eynard, B.; Orantin, N.
2015
Abstract loop equations, topological recursion and new applications. Zbl 1329.14074
Borot, Gaëtan; Eynard, Bertrand; Orantin, Nicolas
2015
Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula. Zbl 1318.14051
Dunin-Barkowski, P.; Kazarian, M.; Orantin, N.; Shadrin, S.; Spitz, L.
2015
Identification of the Givental formula with the spectral curve topological recursion procedure. Zbl 1293.53090
Dunin-Barkowski, P.; Orantin, N.; Shadrin, S.; Spitz, L.
2014
Chain of matrices, loop equations, and topological recursion. Zbl 1236.15073
Orantin, N.
2011
Universality for the Pearcey process. Zbl 1189.82085
Adler, Mark; Orantin, Nicolas; van Moerbeke, Pierre
2010
CFT and topological recursion. Zbl 1294.81211
Kostov, Ivan; Orantin, Nicolas
2010
Topological recursion in enumerative geometry and random matrices. Zbl 1177.82049
Eynard, Bertrand; Orantin, Nicolas
2009
Topological expansion of mixed correlations in the Hermitian 2-matrix model and $$x-y$$ symmetry of the $$F_{g}$$ algebraic invariants. Zbl 1134.81040
Eynard, B.; Orantin, N.
2008
Invariants of algebraic curves and topological expansion. Zbl 1161.14026
Eynard, B.; Orantin, N.
2007
Free energy topological expansion for the 2-matrix model. Zbl 1226.81250
Chekhov, Leonid; Eynard, Bertrand; Orantin, Nicolas
2006
all top 5

#### Cited by 276 Authors

 23 Eynard, Bertrand 15 Mariño, Marcos 13 Marchal, Olivier 12 Shadrin, Sergey V. 11 Mironov, Andrei D. 11 Morozov, Alexei Yurievich 11 Norbury, Paul T. 11 Sułkowski, Piotr 10 Borot, Gaëtan 8 Bouchard, Vincent 8 Chekhov, Leonid O. 8 Harnad, John 8 Klemm, Albrecht 8 Lewanski, Danilo 8 Popolitov, Aleksandr 7 Brini, Andrea 7 Mulase, Motohico 7 Orantin, Nicolas 6 Adler, Mark 6 Dunin-Barkovskiĭ, Petr Igorevich 6 Grassi, Alba 6 Manabe, Masahide 6 van Moerbeke, Pierre 5 Bertola, Marco 5 Bourgine, Jean-Emile 5 Do, Norman 5 Fang, Bohan 5 Huang, Minxin 5 Iwaki, Kohei 5 Pasquetti, Sara 4 Chan, Chuantsung 4 Dijkgraaf, Robbert H. 4 Fuji, Hiroyuki 4 Gu, Jie 4 Guionnet, Alice 4 Irie, Hirotaka 4 Kramer, Reinier 4 Okuyama, Kazumi 4 Schiappa, Ricardo 4 Takasaki, Kanehisa 4 Wang, Dong 4 Yeh, Chi-Hsien 3 Ambjørn, Jan 3 Anas Hahn, Marvin 3 Bergére, Michel 3 Buckingham, Robert J. 3 Chapuy, Guillaume 3 Ciosmak, Paweł 3 Claeys, Tom 3 Codesido, Santiago 3 Duits, Maurice 3 Hadasz, Leszek 3 Klitz, Alexander 3 Kostov, Ivan K. 3 Kuijlaars, Arno B. J. 3 Liechty, Karl 3 Liu, Chiu-Chu Melissa 3 Milanov, Todor E. 3 Morozov, Al’bert Dmitrievich 3 Morozov, Andreĭ Alekseevich 3 Osuga, Kento 3 Penner, Robert C. 3 Plaza Martín, Francisco José 3 Putrov, Pavel 3 Ramadevi, Pichai 3 Shakirov, Sh. R. 3 Spitz, Loek 3 Sun, Kaiwen 3 Zong, Zhengyu 2 Andersen, Jørgen Ellegaard 2 Belliard, Raphael 2 Charbonnier, Séverin 2 Chester, Shai M. 2 Dartois, Stéphane 2 Delépine, Jonathan 2 Desrosiers, Patrick 2 Dubrovin, Boris Anatol’evich 2 Dumitrescu, Olivia 2 Flume, Rainald 2 Garcia-Failde, Elba 2 Grava, Tamara 2 Guay-Paquet, Mathieu 2 Gukov, Sergei 2 Jockers, Hans 2 Johansson, Kurt 2 Kashani-Poor, Amir-Kian 2 Kazaryan, Maxim Eduardovich 2 Lee, Seung-Yeop 2 Maruyoshi, Kazunobu 2 Mathews, Daniel V. 2 Nawata, Satoshi 2 Orlov, Aleksandr Yu. 2 Pierce, Virgil U. 2 Popolitov, A. V. 2 Prats Ferrer, A. 2 Saenz, Axel 2 Safnuk, Brad 2 Santamaría, Ricardo Couso 2 Shakirov, Shamil 2 Singh, Vivek Kumar ...and 176 more Authors
all top 5

#### Cited in 57 Serials

 62 Journal of High Energy Physics 32 Communications in Mathematical Physics 16 Annales Henri Poincaré 15 Letters in Mathematical Physics 15 Nuclear Physics. B 10 Journal of Geometry and Physics 9 Journal of Mathematical Physics 8 Advances in Mathematics 7 Theoretical and Mathematical Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Journal of Physics A: Mathematical and Theoretical 4 Transactions of the American Mathematical Society 4 International Journal of Mathematics 4 Random Matrices: Theory and Applications 3 Selecta Mathematica. New Series 3 Geometry & Topology 2 International Journal of Modern Physics A 2 Journal of Statistical Physics 2 The Annals of Probability 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 Physica D 2 Probability Theory and Related Fields 2 Acta Mathematica Sinica. English Series 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Fortschritte der Physik 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 The Ramanujan Journal 1 Algebras and Representation Theory 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Statistical Mechanics: Theory and Experiment 1 Oberwolfach Reports 1 Advances in High Energy Physics 1 Japanese Journal of Mathematics. 3rd Series 1 Analysis and Mathematical Physics 1 Journal de l’École Polytechnique – Mathématiques
all top 5

#### Cited in 37 Fields

 157 Quantum theory (81-XX) 123 Algebraic geometry (14-XX) 39 Combinatorics (05-XX) 34 Probability theory and stochastic processes (60-XX) 28 Relativity and gravitational theory (83-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Dynamical systems and ergodic theory (37-XX) 25 Manifolds and cell complexes (57-XX) 21 Differential geometry (53-XX) 21 Statistical mechanics, structure of matter (82-XX) 17 Several complex variables and analytic spaces (32-XX) 16 Partial differential equations (35-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Special functions (33-XX) 13 Nonassociative rings and algebras (17-XX) 8 Number theory (11-XX) 8 Functions of a complex variable (30-XX) 8 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 4 Associative rings and algebras (16-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 3 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Biology and other natural sciences (92-XX)