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 show english descriptions unknown classification 53 53 - unknown classification 53

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