On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces
Symplectic Geometry
2007-05-23 v2
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).
Cite
@article{arxiv.math/0211388,
title = {On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces},
author = {Nan-Kuo Ho and Chiu-Chu Melissa Liu},
journal= {arXiv preprint arXiv:math/0211388},
year = {2007}
}
Comments
24 pages