Connected Components of Spaces of Surface Group Representations Ii Nan-kuo Ho and Chiu-chu
نویسنده
چکیده
In [HL1], we discussed the connected components of the space of surface group representations for any compact connected semisimple Lie group and any closed compact (orientable or nonorientable) surface. In this sequel, we generalize the results in [HL1] in two directions: we consider general compact connected Lie groups, and we consider all compact surfaces, including the ones with boundaries. We also interpret our results in terms of moduli spaces of flat connections over compact surfaces.
منابع مشابه
Connected Components of the Space of Surface Group Representations Nan-kuo Ho and Chiu-chu
Let G be a connected, compact, semisimple Lie group. It is known that for a compact closed orientable surface Σ of genus l > 1, the order of the group H(Σ, π1(G)) is equal to the number of connected components of the space Hom(π1(Σ), G)/G which can also be identified with the moduli space of gauge equivalence classes of flat G-bundles over Σ. We show that the same statement for a closed compact...
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