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

โœ Scribed by Indranil Biswas; Carlos Florentino

Publisher
Elsevier Science
Year
2011
Tongue
French
Weight
88 KB
Volume
135
Category
Article
ISSN
0007-4497

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โœฆ Synopsis

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 [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.

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