Fetching the paper…
Reading the bibliography…
In this paper we revisit several recent results on monotone and strictly monotone Hurwitz numbers, providing new proofs.
The centres of symmetric group rings
H. K. Farahat and G. Higman · 1959
Earlier work this paper cites.
Symmetric polynomials and the center of the symmetric group ring
A.-A. A. Jucys · 1974
Earlier work this paper cites.
Soliton equations as dynamical systems on infinite-dimensional Grassmann manifold
M. Sato and Y. Sato · 1983
Earlier work this paper cites.
Loop groups and equations of KdV type
G. Segal and G. Wilson · 1985
Earlier work this paper cites.
Infinite-dimensional Grassmannian structure of two-dimensional quantum gravity
M. Fukuma, H. Kawai, and R. Nakayama · 1992
Earlier work this paper cites.
Solitons
T. Miwa, M. Jimbo, and E. Date · 1993
Earlier work this paper cites.
Polynomial functions on the set of Young diagrams
S. Kerov and G. Olshanski · 1994
Earlier work this paper cites.
Unitary matrix integrals in the framework of the generalized Kontsevich model
A. Mironov, A. Morozov, and G. W. Semenoff · 1996
Earlier work this paper cites.
Enumeration of planar constellations
M. Bousquet-Mélou and G. Schaeffer · 2000
Earlier work this paper cites.
Invertible cohomological field theories and Weil-Petersson volumes
Y. I. Manin and P. Zograf · 2000
Earlier work this paper cites.
Toda equations for Hurwitz numbers
A. Okounkov · 2000
Earlier work this paper cites.
Hurwitz numbers and intersections on moduli spaces of curves
T. Ekedahl, S. Lando, M. Shapiro, and A. Vainshtein · 2001
Earlier work this paper cites.
Vertex operators and the class algebras of symmetric groups
A. Lascoux and J.-Y. Thibon · 2001
Earlier work this paper cites.
Gromov-Witten theory, Hurwitz theory, and completed cycles
A. Okounkov and R. Pandharipande · 2002
Earlier work this paper cites.
HCIZ integral and 2D Toda lattice hierarchy
P. Zinn-Justin · 2002
Earlier work this paper cites.
Invariants of algebraic curves and topological expansion
B. Eynard and N. Orantin · 2007
Earlier work this paper cites.
The KP hierarchy, branched covers, and triangulations
I. P. Goulden and D. M. Jackson · 2008
Earlier work this paper cites.
Gromov-Witten invariants of target curves via symplectic field theory
P. Rossi · 2008
Earlier work this paper cites.
KP hierarchy for Hodge integrals
M. Kazarian · 2009
Cited alongside, same era.
Matrix models for random partitions
A. Alexandrov · 2011
Cited alongside, same era.
Intersection numbers of spectral curves
B. Eynard · 2011
Cited alongside, same era.
The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers
B. Eynard, M. Mulase, and B. Safnuk · 2011
Cited alongside, same era.
Monotone Hurwitz numbers and the HCIZ integral II
I. P. Goulden, M. Guay-Paquet, and J. Novak · 2011
Cited alongside, same era.
Integrability of Hurwitz partition functions
A. Alexandrov, A. Mironov, A. Morosov, and S. Natanzon · 2012
Cited alongside, same era.
Combinatorics of loop equations for branched covers of sphere
P. Dunin-Barkowski, N. Orantin, A. Popolitov, and S. Shadrin · 2014
Later among the works it cites.
Combinatorics of loop equations for branched covers of sphere
P. Dunin-Barkowski, N. Orantin, A. Popolitov, and S. Shadrin · 2014
Later among the works it cites.
Identification of the Givental formula with the spectral curve topological recursion procedure
P. Dunin-Barkowski, N. Orantin, S. Shadrin, and L. Spitz · 2014
Later among the works it cites.
Invariants of spectral curves and intersection theory of moduli spaces of complex curves
B. Eynard · 2014
Later among the works it cites.
Monotone Hurwitz numbers and the HCIZ integral
I. P. Goulden, M. Guay-Paquet, and J. Novak · 2014
Later among the works it cites.
A-polynomial, B-model, and quantization
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. Shadrin, L. Spitz, and D. Zvonkine · 2012
Cited alongside, same era.
Quantum Mirror Curves for ℂ 3 {\mathbb{C}}^{3} and the Resolved Confiold
J. Zhou · 2012
Cited alongside, same era.
The spectral curve of the Eynard-Orantin recursion via the Laplace transform
O. Dumitrescu, M. Mulase, B. Safnuk, and A. Sorkin · 2013
Cited alongside, same era.
Quantum spectral curve for the Gromov-Witten theory of the complex projective line
P. Dunin-Barkowski, M. Mulase, P. Norbury, A. Popolitov, and S. Shadrin · 2013
Cited alongside, same era.
Givental graphs and inversion symmetry
P. Dunin-Barkowski, S. Shadrin, and L. Spitz · 2013
Cited alongside, same era.
Polynomiality of monotone Hurwitz numbers in higher genera
I. P. Goulden, M. Guay-Paquet, and J. Novak · 2013
Cited alongside, same era.
S. Gukov and P. Sułkowski · 2014
Later among the works it cites.
Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra
A. Alexandrov · 2015
Closest in time.
Monotone orbifold Hurwitz numbers
N. Do and M. Karev · 2015
Closest in time.
Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula
P. Dunin-Barkowski, M. Kazarian, N. Orantin, S. Shadrin, and L. Spitz · 2015
Closest in time.
Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula
P. Dunin-Barkowski, D. Lewanski, A. Popolitov, and S. Shadrin · 2015
Closest in time.
Enumeration of hypermaps of a given genus
A. Giorgetti and T. R. Walsh · 2015
Closest in time.
Hypergeometric τ \tau -functions, Hurwitz numbers and enumeration of paths
J. Harnad and A. Y. Orlov · 2015
Closest in time.
Virasoro constraints and topological recursion for Grothendieck’s dessin counting
M. Kazarian and P. Zograf · 2015
Closest in time.
Combinatorial solutions to integrable hierarchies
M. È. Kazarian and S. K. Lando · 2015
Closest in time.
Quantum curves
A. Schwarz · 2015
Closest in time.
Equivalence of ELSV and Bouchard-Mariño conjectures for r r -spin Hurwitz numbers
S. Shadrin, L. Spitz, and D. Zvonkine · 2015
Closest in time.
Emergent Geometry of KP Hierarchy
J. Zhou · 2015
Closest in time.
Emergent Geometry of KP Hierarchy. II
J. Zhou · 2015
Closest in time.