$\ mathm {SL}(2， \mathbb{C})$的e -多项式- $3$属的复曲线的字符变体

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2016-07-01 DOI:10.18910/58905

Javier Martínez, V. Muñoz

{"title":"$\\ mathm {SL}(2， \\mathbb{C})$的e -多项式- $3$属的复曲线的字符变体","authors":"Javier Martínez, V. Muñoz","doi":"10.18910/58905","DOIUrl":null,"url":null,"abstract":"We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g = 3 into SL(2, C), and also of the moduli space of twisted representations. The case of genus g = 1, 2 has already been done in [12]. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":"53 1","pages":"645-681"},"PeriodicalIF":0.5000,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"E-polynomials of $\\\\mathrm{SL}(2, \\\\mathbb{C})$-character varieties of complex curves of genus $3$\",\"authors\":\"Javier Martínez, V. Muñoz\",\"doi\":\"10.18910/58905\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g = 3 into SL(2, C), and also of the moduli space of twisted representations. The case of genus g = 1, 2 has already been done in [12]. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.\",\"PeriodicalId\":54660,\"journal\":{\"name\":\"Osaka Journal of Mathematics\",\"volume\":\"53 1\",\"pages\":\"645-681\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2016-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Osaka Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.18910/58905\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Osaka Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/58905","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 7

摘要

我们计算了g = 3属的复曲线的基本群到SL(2, C)的表示的模空间的e多项式，以及扭曲表示的模空间的e多项式。g = 1,2的情况已经在[12]中做过了。我们遵循[12]中介绍的几何技术，基于对表示空间的分层，以及对颤振下e多项式行为的分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

E-polynomials of $\mathrm{SL}(2, \mathbb{C})$-character varieties of complex curves of genus $3$

We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g = 3 into SL(2, C), and also of the moduli space of twisted representations. The case of genus g = 1, 2 has already been done in [12]. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.

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

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.