Quantum Hurwitz numbers and Macdonald polynomials

DOI10.1063/1.4967953zbMath1357.33008arXiv1504.03311OpenAlexW3104703448MaRDI QIDQ2836132

J. Harnad

Publication date: 7 December 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.03311

zbMATH Keywords

generating functionshypergeometric functionsMacdonald polynomialsenumerative combinatorics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Coverings of curves, fundamental group (14H30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items

Fermionic approach to weighted Hurwitz numbers and topological recursion, Toda hierarchies and their applications, Asymptotics of quantum weighted Hurwitz numbers, Weighted Hurwitz numbers and topological recursion: An overview, Weighted Hurwitz numbers and topological recursion, \(q\)-difference Kac-Schwarz operators in topological string theory, Constellations and \(\tau\)-functions for rationally weighted Hurwitz numbers, Rationally weighted Hurwitz numbers, Meijer G-functions and matrix integrals, Generating weighted Hurwitz numbers, Matrix model generating function for quantum weighted Hurwitz numbers, 2D Toda \(\tau\)-functions as combinatorial generating functions

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