Exhausting curve complexes by finite rigid sets

Javier Aramayona and Christopher J. Leininger

Vol. 282 (2016), No. 2, 257–283

DOI: 10.2140/pjm.2016.282.257

Abstract

Let $S$ be a connected orientable surface of finite topological type. We prove that there is an exhaustion of the curve complex $\mathcal{C}\left(S\right)$ by a sequence of finite rigid sets.

Keywords

curve complex, mapping class group, rigidity

Mathematical Subject Classification 2010

Primary: 57M99

Milestones

Received: 24 October 2014

Revised: 11 September 2015

Accepted: 30 September 2015

Published: 3 March 2016