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arXiv · 1304.0015

Quantum curves for simple Hurwitz numbers of an arbitrary base curve

Xiaojun Liu·Motohico Mulase·Adam Sorkin
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Abstract

Various generating functions of simple Hurwitz numbers of the projective line are known to satisfy many properties. They include a heat equation, the Eynard-Orantin topological recursion, an infinite-order differential equation called a quantum curve equation, and a Schroedinger like partial differential equation. In this paper we generalize these properties to simple Hurwitz numbers with an arbitrary base curve.

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Xiaojun Liu, Motohico Mulase, Adam Sorkin. 2013-06-04. Quantum curves for simple Hurwitz numbers of an arbitrary base curve. https://arxiv.org/abs/1304.0015

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