Big mapping class groups and rigidity of the simple circle
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.
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| Veröffentlicht in: | Ergodic theory and dynamical systems 2021-07, Vol.41 (7), p.1961-1987, Article 1961 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
|---|---|
| ISSN: | 0143-3857 1469-4417 |
| DOI: | 10.1017/etds.2020.43 |