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

Published online by Cambridge University Press:  20 November 2018

Nan-Kuo Ho  and
Chiu-Chu Melissa Liu
Nan-Kuo Ho
Affiliation:
Department of Mathematics, National Cheng-Kung University, Taiwan e-mail: nankuo@mail.ncku.edu.tw
Chiu-Chu Melissa Liu
Affiliation:
Department of Mathematics, Harvard University, Cambridge, MA 02138, USA e-mail: ccliu@math.harvard.edu
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Abstract

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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

53moduli space of flat G connections
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 56 , Issue 6 , 01 December 2004 , pp. 1228 - 1236
Copyright
Copyright © Canadian Mathematical Society 2004

References

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