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

Doug Pickrell·Eugene Z. Xia
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Abstract

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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Doug Pickrell, Eugene Z. Xia. 2000-06-13. Ergodicity of Mapping Class Group Actions on Representation Varieties, I. Closed Surfaces. https://arxiv.org/abs/math/0006098

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