Ju n 20 00 Ergodicity of Mapping Class Group Actions on Representation Varieties , I . Closed Surfaces
نویسنده
چکیده
We prove that the mapping class group of a closed surface acts ergodically on connected components of the representation variety corresponding to a connected compact Lie group.
منابع مشابه
Ergodicity of Mapping Class Group Actions on Su(2)-character Varieties
Let be a compact orientable surface with genus g and n boundary components ∂1, . . . , ∂n. Let b = (b1, . . . , bn) ∈ [−2, 2]n. Then the mapping class group Mod( ) acts on the relative SU(2)-character varietyXb := Homb(π , SU(2))/SU, comprising conjugacy classes of representations ρ with tr(ρ(∂i)) = bi. This action preserves a symplectic structure on the open dense smooth submanifold of Homb(π ...
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تاریخ انتشار 2008