Fetching the paper…
Reading the bibliography…
We prove the conjecture of Do and Karev that the monotone orbifold Hurwitz numbers satisfy the Chekhov-Eynard-Orantin topological recursion.
Infinite-dimensional Lie algebras
Victor G. Kac · 1990
Earlier work this paper cites.
Solitons
T. Miwa, M. Jimbo, and E. Date · 1993
Earlier work this paper cites.
Hermitian matrix model free energy: Feynman graph technique for all genera
Leonid Chekhov and Bertrand Eynard · 2006
Earlier work this paper cites.
Invariants of algebraic curves and topological expansion
Bertrand Eynard and Nicolas Orantin · 2007
Earlier work this paper cites.
Gromov-Witten invariants of target curves via symplectic field theory
Paolo Rossi · 2008
Earlier work this paper cites.
Remodeling the B-model
Vincent Bouchard, Albrecht Klemm, Marcos Mariño, and Sara Pasquetti · 2009
Earlier work this paper cites.
Matrix models for random partitions
Alexander Alexandrov · 2011
Earlier work this paper cites.
On double Hurwitz numbers with completed cycles
Sergey Shadrin, Loek Spitz, and Dimitri Zvonkine · 2012
Earlier work this paper cites.
Monotone Hurwitz numbers in genus zero
Ian P. Goulden, Mathieu Guay-Paquet, and Jonathan Novak · 2013
Earlier work this paper cites.
Polynomiality of monotone Hurwitz numbers in higher genera
Ian P. Goulden, Mathieu Guay-Paquet, and Jonathan Novak · 2013
Earlier work this paper cites.
Identification of the Givental formula with the spectral curve topological recursion procedure
Petr Dunin-Barkowski, Nicolas Orantin, Sergey Shadrin, and Loek Spitz · 2014
Cited alongside, same era.
Invariants of spectral curves and intersection theory of moduli spaces of complex curves
Bertrand Eynard · 2014
Cited alongside, same era.
Monotone Hurwitz numbers and the HCIZ integral
Ian P. Goulden, Mathieu Guay-Paquet, and Jonathan Novak · 2014
Cited alongside, same era.
Abstract loop equations, topological recursion and new applications
Gaëtan Borot, Bertrand Eynard, and Nicolas Orantin · 2015
Cited alongside, same era.
Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula
Petr Dunin-Barkowski, Danilo Lewanski, Alexander Popolitov, and Sergey Shadrin · 2015
Cited alongside, same era.
Special cases of the orbifold version of Zvonkine’s r r -ELSV formula
Gaëtan Borot, Reinier Kramer, Danilo Lewanski, Alexandr Popolitov, and Sergey Shadrin · 2017
Later among the works it cites.
Blobbed topological recursion: properties and applications
Gaëtan Borot and Sergey Shadrin · 2017
Later among the works it cites.
Topological recursion and a quantum curve for monotone Hurwitz numbers
Norman Do, Alastair Dyer, and Daniel V. Mathews · 2017
Later among the works it cites.
Monotone orbifold Hurwitz numbers
Norman Do and Maksim Karev · 2017
Later among the works it cites.
Weighted Hurwitz numbers and topological recursion: an overview
Alexander Alexandrov, Guillaume Chapuy, Bertrand Eynard, and John Harnad · 2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Mathieu Guay-Paquet and John Harnad · 2015
Cited alongside, same era.
Hypergeometric τ \tau -functions, Hurwitz numbers and enumeration of paths
John Harnad and Aleksander Yu. Orlov · 2015
Cited alongside, same era.
Ramifications of Hurwitz theory, KP integrability and quantum curves
Alexander Alexandrov, Danilo Lewanski, and Sergey Shadrin · 2016
Cited alongside, same era.
Counting surfaces
Bertrand Eynard · 2016
Cited alongside, same era.
Topological recursion and its influence in analysis, geometry, and topology
Chiu-Chu Melissa Liu and Motohico Mulase, editors · 2016
Cited alongside, same era.
Marvin Anas Hahn, Reinier Kramer, and Danilo Lewanski · 2018
Later among the works it cites.
Cut-and-join equation for monotone Hurwitz numbers revisited
Petr Dunin-Barkowski, Reinier Kramer, Alexandr Popolitov, and Sergey Shadrin · 2019
Closest in time.
Loop equations and a proof of Zvonkine’s q r qr -ELSV formula
Petr Dunin-Barkowski, Reinier Kramer, Alexandr Popolitov, and Sergey Shadrin · 2019
Closest in time.
A monodromy graph approach to the piecewise polynomiality of simple, monotone and Grothendieck dessins d’enfants double Hurwitz numbers
Marvin Anas Hahn · 2019
Closest in time.
Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck’s dessins d’enfants
Reinier Kramer, Danilo Lewański, and Sergey Shadrin · 2019
Closest in time.