Global fixed points of mapping class group actions and a theorem of Markovic

Lei Chen; Nick Salter

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arXiv · 2003.02440

Global fixed points of mapping class group actions and a theorem of Markovic

Lei Chen·Nick Salter

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Abstract

We give a short and elementary proof of the non-realizability of the mapping class group via homeomorphisms. This was originally established by Markovic, resolving a conjecture of Thurston. With the tools established in this paper, we also obtain some rigidity results for actions of the mapping class group on Euclidean spaces.

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Lei Chen, Nick Salter. 2020-03-05. Global fixed points of mapping class group actions and a theorem of Markovic. https://arxiv.org/abs/2003.02440

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