Fetching the paper…
Reading the bibliography…
We prove the 2006 Zvonkine conjecture that expresses Hurwitz numbers with completed cycles in terms of intersection numbers with the Chiodo classes via the so-called $r$-ELSV formula, as well as its orbifold generalization, the $qr$-ELSV formula, proposed recently in [KLPS17].
Gromov-Witten classes, quantum cohomology, and enumerative geometry
M. Kontsevich and Yu. Manin · 1994
Earlier work this paper cites.
Polynomial functions on the set of Young diagrams
S. Kerov and G. Olshanski · 1994
Earlier work this paper cites.
Geometry of the moduli of higher spin curves
Tyler J. Jarvis · 2000
Earlier work this paper cites.
Hurwitz numbers and intersections on moduli spaces of curves
Torsten Ekedahl, Sergei Lando, Michael Shapiro, and Alek Vainshtein · 2001
Earlier work this paper cites.
Moduli of twisted spin curves
Dan Abramovich and Tyler J. Jarvis · 2003
Earlier work this paper cites.
Hodge integrals and Hurwitz numbers via virtual localization
Tom Graber and Ravi Vakil · 2003
Earlier work this paper cites.
The moduli space of curves and its tautological ring
Ravi Vakil · 2003
Earlier work this paper cites.
Matrix eigenvalue model: Feynman graph technique for all genera
Leonid Chekhov and Bertrand Eynard · 2006
Earlier work this paper cites.
Gromov-Witten theory, Hurwitz theory, and completed cycles
A. Okounkov and R. Pandharipande · 2006
Earlier work this paper cites.
A preliminary text on the r r -ELSV formula
D. Zvonkine · 2006
Earlier work this paper cites.
Moduli of roots of line bundles on curves
Lucia Caporaso, Cinzia Casagrande, and Maurizio Cornalba · 2007
Earlier work this paper cites.
Invariants of algebraic curves and topological expansion
B. Eynard and N. Orantin · 2007
Earlier work this paper cites.
Hurwitz numbers, matrix models and enumerative geometry
Vincent Bouchard and Marcos Mariño · 2008
Earlier work this paper cites.
Stable twisted curves and their r r -spin structures
Alessandro Chiodo · 2008
Earlier work this paper cites.
Towards an enumerative geometry of the moduli space of twisted curves and r r th roots
Alessandro Chiodo · 2008
Earlier work this paper cites.
Gromov-Witten invariants of target curves via symplectic field theory
P. Rossi · 2008
Earlier work this paper cites.
The moduli space of curves and Gromov-Witten theory
R. Vakil · 2008
Earlier work this paper cites.
Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
Alessandro Chiodo and Yongbin Ruan · 2010
Earlier work this paper cites.
Matrix models for random partitions
A. Alexandrov · 2011
Cited alongside, same era.
A matrix model for simple Hurwitz numbers, and topological recursion
Gaëtan Borot, Bertrand Eynard, Motohico Mulase, and Brad Safnuk · 2011
Cited alongside, same era.
The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers
Bertrand Eynard, Motohico Mulase, and Bradley Safnuk · 2011
Cited alongside, same era.
Intersection numbers of spectral curves
B. Eynard · 2011
Cited alongside, same era.
Abelian Hurwitz-Hodge integrals
P. Johnson, R. Pandharipande, and H.-H. Tseng · 2011
Cited alongside, same era.
On double Hurwitz numbers with completed cycles
S. Shadrin, L. Spitz, and D. Zvonkine · 2012
Double Hurwitz numbers via the infinite wedge
Paul Johnson · 2015
Later among the works it cites.
Equivalence of ELSV and Bouchard-Mariño conjectures for r r -spin Hurwitz numbers
S. Shadrin, L. Spitz, and D. Zvonkine · 2015
Later among the works it cites.
Ramifications of Hurwitz theory, KP integrability and quantum curves
A. Alexandrov, D. Lewanski, and S. Shadrin · 2016
Later among the works it cites.
Orbifold Hurwitz numbers and Eynard-Orantin invariants
Norman Do, Oliver Leigh, and Paul Norbury · 2016
Later among the works it cites.
Special cases of the orbifold version of Zvonkine’s $r$-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
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
An introduction to moduli spaces of curves and their intersection theory
Dimitri Zvonkine · 2012
Cited alongside, same era.
Think globally, compute locally
Vincent Bouchard and Bertrand Eynard · 2013
Cited alongside, same era.
Givental graphs and inversion symmetry
Petr Dunin-Barkowski, Sergey Shadrin, and Loek Spitz · 2013
Cited alongside, same era.
The spectral curve and the Schrödinger equation of double Hurwitz numbers and higher spin structures
M. Mulase, S. Shadrin, and L. Spitz · 2013
Cited alongside, same era.
Mirror symmetry for orbifold Hurwitz numbers
Vincent Bouchard, Daniel Hernández Serrano, Xiaojun Liu, and Motohico Mulase · 2014
Cited alongside, same era.
Identification of the Givental formula with the spectral curve topological recursion procedure
P. Dunin-Barkowski, N. Orantin, S. Shadrin, and L. Spitz · 2014
Cited alongside, same era.
G. Borot and S. Shadrin · 2017
Later among the works it cites.
Double ramification cycles on the moduli spaces of curves
F. Janda, R. Pandharipande, A. Pixton, and D. Zvonkine · 2017
Later among the works it cites.
Chiodo formulas for the r r -th roots and topological recursion
Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin, and Dimitri Zvonkine · 2017
Later among the works it cites.
Weighted Hurwitz numbers and topological recursion
A. Alexandrov, G. Chapuy, B. Eynard, and J. Harnad · 2018
Later among the works it cites.
Weighted Hurwitz numbers and topological recursion: an overview
A. Alexandrov, G. Chapuy, B. Eynard, and J. Harnad · 2018
Later among the works it cites.
Pixton’s double ramification cycle relations
Emily Clader and Felix Janda · 2018
Later among the works it cites.
Primary invariants of Hurwitz Frobenius manifolds
P. Dunin-Barkowski, P. Norbury, N. Orantin, A. Popolitov, and S. Shadrin · 2018
Later among the works it cites.
The Moduli Space of Stables Maps with Divisible Ramification
Oliver Leigh · 2018
Later among the works it cites.
On ELSV-type formulae, Hurwitz numbers and topological recursion
D. Lewanski · 2018
Later among the works it cites.
Dubrovin’s superpotential as a global spectral curve
P. Dunin-Barkowski, P. Norbury, N. Orantin, A. Popolitov, and S. Shadrin · 2019
Closest in time.
Towards an orbifold generalization of Zvonkine’s r r -ELSV formula
R. Kramer, D. Lewanski, A. Popolitov, and S. Shadrin · 2019
Closest in time.
Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck’s dessins d’enfants
Reinier Kramer, Danilo Lewanski, and Sergey Shadrin · 2019
Closest in time.