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arXiv · 1405.3580

Fundamental Group of Moduli Spaces of Representations

Indranil Biswas·Sean Lawton
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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).

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Indranil Biswas, Sean Lawton. 2014-05-14. Fundamental Group of Moduli Spaces of Representations. https://doi.org/10.1007/s10711-015-0048-x

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