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math.DS2000
Ergodicity of Mapping Class Group Actions on Representation Varieties, II. Surfaces with Boundary
Doug Pickrell, Eugene Z. Xia
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 t…
math.DS2000
Ergodicity of Mapping Class Group Actions on Representation Varieties, I. Closed Surfaces
Doug Pickrell, Eugene Z. Xia
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.