E-Polynomials of the SL(2, C)-Character Varieties of Surface Groups

被引：17

作者：

Martinez, Javier ^{[1
]}

Munoz, Vicente ^{[1
,2
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Plaza Ciencias 3, E-28040 Madrid, Spain

[2] CSIC UAM UC3M UCM, Inst Ciencias Matemat, C Nicolas Cabrera 15, Madrid 28049, Spain

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 03期

关键词：

HODGE POLYNOMIALS; MODULI SPACES; CHARACTER; BUNDLES; DUALITY;

D O I：

10.1093/imrn/rnv163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a once-punctured surface of any genus into SL(2, C), for any possible holonomy around the puncture. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behavior of the E-polynomial under fibrations.

引用

页码：926 / 961

页数：36

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