Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck's dessins d'enfants

I. MacDonald, Symmetric functions and Hall polynomials, Oxford University Press

1998

Earlier work this paper cites.

M. Bousquet-Mélou and G. Schaeffer. Enumeration of planar constellations. Adv. in Appl. Math

2000

Earlier work this paper cites.

T. Ekedahl, S. Lando, M. Shapiro and A. Vainshtein, Hurwitz numbers and intersections on moduli spaces of curves, Invent. Math

2001

Earlier work this paper cites.

C. Charalambides, Enumerative Combinatorics, Chapman and Hall CRC

2002

Earlier work this paper cites.

P. Zinn-Justin. HCIZ integral and 2D Toda lattice hierarchy. Nuclear Phys. B

2002

Earlier work this paper cites.

L. Chekhov, B. Eynard, N. Orantin, Free energy topological expansion for the 2-matrix model, Journal of High Energy Physics

2006

Earlier work this paper cites.

I. Goulden, M. Guay-Paquet, and J. Novak. Monotone Hurwitz numbers and the HCIZ integral II. ArXiv e-prints

2011

Earlier work this paper cites.

P. Johnson, R. Pandharipande, H.-H. Tseng Abelian Hurwitz-Hodge integrals, Mich. Math. J

2011

Earlier work this paper cites.

O. Dumitrescu, M. Mulase, B. Safnuk, A. Sorkin, The spectral curve of the Eynard-Orantin recursion via the Laplace transform, Contemp. Math

2013

Earlier work this paper cites.

I. Goulden, M. Guay-Paquet, and J. Novak. Polynomiality of monotone Hurwitz numbers in higher genera. Adv. Math

2013

Cited alongside, same era.

M. Mulase, S. Shadrin, L. Spitz, The spectral curve and the Schrödinger equation of double Hurwitz numbers and higher spin structures. 2013. Communications in Number Theory and Physics 7

2013

Cited alongside, same era.

P. Zograf. Enumeration of Grothendieck’s dessins and KP hierarchy, 2013. arXiv:1312.2538

Original

2013

Cited alongside, same era.

V. Bouchard, D. Hernàndez Serrano, X. Liu, M. Mulase, Mirror symmetry for orbifold Hurwitz numbers, J. Differ. Geom

2014

Cited alongside, same era.

N. Do, D. Manescu, Quantum curves for the enumeration of ribbon graphs and hypermaps, Commun. Number Theory Phys

2014

Cited alongside, same era.

J. Harnad. Weighted Hurwitz numbers and hypergeometric τ \tau -functions: an overview. 2015. arXiv:1504.03408

Original

2015

Later among the works it cites.

J. Harnad and A. Orlov. Hypergeometric τ \tau -functions, Hurwitz numbers and enumeration of paths. Comm. Math. Phys

2015

Later among the works it cites.

P. Johnson, Double Hurwitz numbers via the infinite wedge, Transactions of the American Mathematical Society

2015

Later among the works it cites.

M. Kazarian and P. Zograf. Virasoro constraints and topological recursion for Grothendieck’s dessin counting. Lett. Math. Phys

2015

Later among the works it cites.

S. Shadrin, L. Spitz, D. Zvonkine, Equivalence of ELSV and Bouchard-Mariño conjectures for r-spin Hurwitz numbers, Math. Ann

2015

Later among the works it cites.