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arxiv: math/0008194 · v1 · submitted 2000-08-25 · 🧮 math.DS

Ergodicity of Mapping Class Group Actions on Representation Varieties, II. Surfaces with Boundary

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keywords boundaryclassgroupcompactconnectedmappingrepresentationactions
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The mapping class group of a compact oriented surface of genus greater than one with boundary acts ergodically on connected components of the representation variety corresponding to a connected compact Lie group, for every choice of conjugacy class boundary condition.

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