Quantum Curves for Simple Hurwitz Numbers of an Arbitrary Base Curve
نویسنده
چکیده
The 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 Schrödinger like partial differential equation. In this paper we generalize these properties to simple Hurwitz numbers with an arbitrary base curve.
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تاریخ انتشار 2013