The topology of moduli spaces of group representations: The case of compact surface

被引：7

作者：

Biswas, Indranil ^{[1
]}

Florentino, Carlos ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2011年 / 135卷 / 04期

关键词：

Flat connection; Higgs bundle; Representation; PRINCIPAL BUNDLES;

D O I：

10.1016/j.bulsci.2011.02.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a connected complex semisimple affine algebraic group, and let K be a maximal compact subgroup of G. Let X be a noncompact oriented surface. The main theorem of Florentino and Lawton (2009) [3] says that the moduli space of flat K-connections on X is a strong deformation retraction of the moduli space of flat G-connections on X. We prove that this statement fails whenever X is compact of genus at least two. (C) 2011 Elsevier Masson SAS. All rights reserved.

引用

页码：395 / 399

页数：5

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