Fundamental Group of Moduli Spaces of Representations
Algebraic Geometry
2015-09-22 v2 Algebraic Topology
Abstract
Let S be a surface of genus g with n points removed, G a connected Lie group, and X(G) the moduli space of representations of the fundamental group of S into G. We compute the fundamental group of X(G) when n>0 and G is a real or complex reductive algebraic group, or a compact Lie group; and when n=0 and G=GL(m,C), SL(m,C), U(m), or SU(m).
Keywords
Cite
@article{arxiv.1405.3580,
title = {Fundamental Group of Moduli Spaces of Representations},
author = {Indranil Biswas and Sean Lawton},
journal= {arXiv preprint arXiv:1405.3580},
year = {2015}
}
Comments
9 pages, to appear in Geometriae Dedicata