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arXiv · 1907.07903

Big mapping class groups and rigidity of the simple circle

Danny Calegari·Lvzhou Chen
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Abstract

Let $\Gamma$ denote the mapping class group of the plane minus a Cantor set. We show that every action of $\Gamma$ on the circle is either trivial or semi-conjugate to a unique minimal action on the so-called simple circle.

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Danny Calegari, Lvzhou Chen. 2019-07-18. Big mapping class groups and rigidity of the simple circle. https://doi.org/10.1017/etds.2020.43

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