Quantum curves for simple Hurwitz numbers of an arbitrary base curve
Algebraic Geometry
2013-06-05 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1304.0015,
title = {Quantum curves for simple Hurwitz numbers of an arbitrary base curve},
author = {Xiaojun Liu and Motohico Mulase and Adam Sorkin},
journal= {arXiv preprint arXiv:1304.0015},
year = {2013}
}
Comments
16 pages