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

{"title":"简单赫尔维茨数的任意基曲线的量子曲线","authors":"Xiaojun Liu, M. Mulase, Adam J. Sorkin","doi":"10.1090/PSPUM/100/01769","DOIUrl":null,"url":null,"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.","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"67 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Quantum curves for simple Hurwitz numbers of\\n an arbitrary base curve\",\"authors\":\"Xiaojun Liu, M. Mulase, Adam J. Sorkin\",\"doi\":\"10.1090/PSPUM/100/01769\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":384712,\"journal\":{\"name\":\"Proceedings of Symposia in Pure\\n Mathematics\",\"volume\":\"67 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-03-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Symposia in Pure\\n Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/PSPUM/100/01769\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of Symposia in Pure\n Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/PSPUM/100/01769","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊