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Big mapping class groups and rigidity of the simple circle

Published online by Cambridge University Press:  03 June 2020

DANNY CALEGARI
Affiliation:
Department of Mathematics, University of Chicago, Chicago, Illinois, USA email [email protected], [email protected]
LVZHOU CHEN
Affiliation:
Department of Mathematics, University of Chicago, Chicago, Illinois, USA email [email protected], [email protected]

Abstract

Let $\unicode[STIX]{x1D6E4}$ denote the mapping class group of the plane minus a Cantor set. We show that every action of $\unicode[STIX]{x1D6E4}$ on the circle is either trivial or semiconjugate to a unique minimal action on the so-called simple circle.

Type
Original Article
Copyright
© The Author(s) 2020. Published by Cambridge University Press

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