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Advances in Mathematics, 2015, Volume 279, Pages 67–103
DOI: https://doi.org/10.1016/j.aim.2015.03.016
(Mi admat2)
 

This article is cited in 16 scientific papers (total in 16 papers)

Polynomiality of Hurwitz numbers, Bouchard–Mariño conjecture, and a new proof of the ELSV formula

P. Dunin-Barkowskiabc, M. Kazariande, N. Orantinf, S. Shadrina, L. Spitza

a Korteweg-de Vries Institute for Mathematics, University of Amsterdam, P.O. Box 94248, 1090 GE Amsterdam, The Netherlands
b Laboratory of Mathematical Physics, National Research University Higher School of Economics, Moscow, Russia
c ITEP, Moscow, Russia
d Department of Mathematics, National Research University Higher School of Economics, Moscow, Russia
e Steklov Mathematical Institute, Ul. Gubkina 8, 119991 Moscow, Russia
f Département de mathématiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
Citations (16)
Funding agency Grant number
Netherlands Organization for Scientific Research 613.001.021
Ministry of Education and Science of the Russian Federation 8498
5-100
NSh-3349.2012.2
Russian Foundation for Basic Research 13-02-00478
13-02-91371-St-a
14-01-31395-mol_a
13-01-00383
P.D.-B. was supported by free competition grant 613.001.021 of the Netherlands Organization for Scientific Research and partially supported by Ministry of Education and Science of the Russian Federation under contract 8498, by the Government of the Russian Federation within the framework of the implementation of the 5-100 Programme Roadmap of the National Research University Higher School of Economics, by grant NSh-3349.2012.2 and by RFBR grants 13-02-00478, 13-02-91371-St-a and 14-01-31395-mol_a. M. Kazarian was supported by RFBR grant 13-01-00383. S.S. and L.S. were supported by a Vidi grant and S.S. by a Vici grant of the Netherlands Organization for Scientific Research.
Received: 17.07.2013
Revised: 16.03.2015
Accepted: 23.03.2015
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/admat2
  • This publication is cited in the following 16 articles:
    1. Boris Bychkov, Petr Dunin‐Barkowski, Maxim Kazarian, Sergey Shadrin, “Topological recursion for Kadomtsev–Petviashvili tau functions of hypergeometric type”, Journal of London Math Soc, 109:6 (2024)  crossref
    2. A Alexandrov, B Bychkov, P Dunin-Barkowski, M Kazarian, S Shadrin, “Log Topological Recursion Through the Prism of x-y Swap”, International Mathematics Research Notices, 2024  crossref
    3. Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian, Sergey Shadrin, “Explicit closed algebraic formulas for Orlov–Scherbinn-point functions”, Journal de l'École polytechnique — Mathématiques, 9 (2022), 1121  crossref
    4. Marvin Anas Hahn, Danilo Lewanski, “Tropical Jucys covers”, Math. Z., 301:2 (2022), 1719  crossref
    5. Gaëtan Borot, Reinier Kramer, Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin, “Special Cases of the Orbifold Version of Zvonkine's r-ELSV Formula”, Michigan Math. J., 70:2 (2021)  crossref
    6. A. Morozov, A. Popolitov, Sh. Shakirov, “Quantization of Harer-Zagier formulas”, Physics Letters B, 811 (2020), 135932  crossref
    7. B. Bychkov, P. Dunin-Barkowski, S. Shadrin, “Combinatorics of Bousquet-Mélou–Schaeffer numbers in the light of topological recursion”, European Journal of Combinatorics, 90 (2020), 103184  crossref
    8. Marvin Hahn, Danilo Lewański, “Wall-crossing and recursion formulae for tropical Jucys covers”, Trans. Amer. Math. Soc., 373:7 (2020), 4685  crossref
    9. P. Dunin-Barkowski, R. Kramer, A. Popolitov, S. Shadrin, “Cut-and-join equation for monotone Hurwitz numbers revisited”, Journal of Geometry and Physics, 137 (2019), 1  crossref
    10. R. Kramer, D. Lewanski, A. Popolitov, S. Shadrin, “Towards an orbifold generalization of Zvonkine's 𝑟-ELSV formula”, Trans. Amer. Math. Soc., 372:6 (2019), 4447  crossref
    11. Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin, Dimitri Zvonkine, “Chiodo formulas for the r-th roots and topological recursion”, Lett Math Phys, 107:5 (2017), 901  crossref
    12. Bohan Fang, Chiu-Chu Liu, Zhengyu Zong, “The Eynard–Orantin recursion and equivariant mirror symmetry for the projective line”, Geom. Topol., 21:4 (2017), 2049  crossref
    13. Letterio Gatto, Parham Salehyan, Hasse-Schmidt Derivations on Grassmann Algebras, 2016, 147  crossref
    14. A. Alexandrov, D. Lewanski, S. Shadrin, “Ramifications of Hurwitz theory, KP integrability and quantum curves”, J. High Energ. Phys., 2016:5 (2016)  crossref
    15. G. Borot, “Blobbed topological recursion”, Theoret. and Math. Phys., 185:3 (2015), 1729–1740  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    16. P. Dunin-Barkowski, D. Lewanski, A. Popolitov, S. Shadrin, “Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula”, J. Lond. Math. Soc. (2), 92:3, 547–565  crossref  mathscinet  isi  scopus
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