Uniform convergence in the mapping class group

Uniform convergence in the mapping class group

We characterize convex cocompact subgroups of the mapping class group of a surface in terms of uniform convergence actions on the zero locus of the limit set. We also construct subgroups that act as uniform convergence groups on their limit sets, but are not convex cocompact.

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Veröffentlicht in:Ergodic theory and dynamical systems 2008-08, Vol.28 (4), p.1177-1195, Article 1177
Hauptverfasser: KENT IV, RICHARD P., LEININGER, CHRISTOPHER J.
Format: Artikel
Sprache:eng
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Zusammenfassung:We characterize convex cocompact subgroups of the mapping class group of a surface in terms of uniform convergence actions on the zero locus of the limit set. We also construct subgroups that act as uniform convergence groups on their limit sets, but are not convex cocompact.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385707000818