简单赫尔维茨数的任意基曲线的量子曲线

Proceedings of Symposia in Pure Mathematics Pub Date : 2013-03-29 DOI:10.1090/PSPUM/100/01769

Xiaojun Liu, M. Mulase, Adam J. Sorkin

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引用次数: 10

摘要

已知投影线的简单赫维茨数的各种生成函数满足许多性质。它们包括一个热方程，Eynard-Orantin拓扑递推，一个被称为量子曲线方程的无限阶微分方程，以及一个类似薛定谔的偏微分方程。本文将这些性质推广到具有任意基曲线的简单Hurwitz数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quantum curves for simple Hurwitz numbers of an arbitrary base curve

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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来源期刊

Proceedings of Symposia in Pure Mathematics

CiteScore

0.60

自引率

0.00%

发文量