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On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces

Nan-Kuo Ho·Chiu-Chu Melissa Liu
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Abstract

We study the connectedness of the moduli space of gauge equivalence classes of flat G-connections on a compact orientable surface or a compact nonorientable surface for a class of compact connected Lie groups. This class includes all the compact, connected, simply connected Lie groups, and some non-semisimple classical groups including U(n) and Spin^C(n).

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Nan-Kuo Ho, Chiu-Chu Melissa Liu. 2004-05-18. On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces. https://arxiv.org/abs/math/0211388

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