Ergodicity of Mapping Class Group Actions on Representation Varieties, I. Closed Surfaces

Details Ergodicity of Mapping Class Group Actions on Representation Varieties, I. Closed Surfaces Ergodicity of Mapping Class Group Actions on Representation Varieties, I. Closed Surfaces

2000-06-13

arxiv.org/abs/math/0006098v1

Mathematics

Dynamical Systems

25 pages, 3 figures

Scientific paper

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.

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