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Uniform convergence in the mapping class group

Published online by Cambridge University Press:  01 August 2008

RICHARD P. KENT IV  and
CHRISTOPHER J. LEININGER
RICHARD P. KENT IV
Affiliation:
Department of Mathematics, Brown University, Providence, RI 02912, USA (email: rkent@math.brown.edu)
CHRISTOPHER J. LEININGER
Affiliation:
Department of Mathematics, University of Illinois, Urbana-Champaign, IL 61801, USA (email: clein@math.uiuc.edu)
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Abstract

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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 4 , August 2008 , pp. 1177 - 1195
Copyright
Copyright © 2008 Cambridge University Press

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