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

Published:2004-12-01
Printed: Dec 2004
• 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.
 Keywords: moduli space of flat $G$ connections moduli space of flat $G$ connections
 MSC Classifications: 53 - unknown classification 53

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