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

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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 including U(n) and Spin^C(n).
24 pages

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Symplectic Geometry, 53D30

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http://salesiana.dossiersoluciones.com/handle/123456789/96901

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211388
 http://arxiv.org/abs/math/0211388
 Canad.J. Math. 56 (2004), no. 6, 1228-1236

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arXiv