Quantum Hurwitz numbers and Macdonald polynomials
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Publication:2836132
DOI10.1063/1.4967953zbMath1357.33008arXiv1504.03311OpenAlexW3104703448MaRDI QIDQ2836132
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
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)
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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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