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

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

2002-11-25

arxiv.org/abs/math/0211388v2

Canad.J. Math. 56 (2004), no. 6, 1228-1236

Mathematics

Symplectic Geometry

24 pages

Scientific paper

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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