Generating weighted Hurwitz numbers

Abstract

Multicurrent correlators associated to KP $\tau$-functions of hypergeometric type are used as generating functions for weighted Hurwitz numbers. These are expressed as formal Taylor series and used to compute generic, simple, rational and quantum weighted single Hurwitz numbers.

arXiv comment23 pages

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Cited by in corpus (4)

• Weighted Hurwitz numbers and topological recursion
• Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials
• Laguerre Ensemble: Correlators, Hurwitz Numbers and Hodge Integrals
• Grothendieck's Dessins d'Enfants in a Web of Dualities. III