The topology of moduli spaces of group representations: The case of compact surface |
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Authors: | Indranil Biswas Carlos Florentino |
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Affiliation: | aSchool of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India;bDepartamento Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal |
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Abstract: | 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. |
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Keywords: | MSC: 14D22 |
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