Geometry & Topology 13 (2009) 2141–2162

DOI: 10.2140/gt.2009.13.2141

Abstract

We provide the first nontrivial examples of quasi-isometric embeddings between curve complexes; these are induced by orbifold covers. This leads to new quasi-isometric embeddings between mapping class groups. As a corollary, in the mapping class group normalizers of finite subgroups are undistorted.

Keywords

mapping class group, complex of curves, cover, undistorted subgroup

Mathematical Subject Classification

Primary: 57M99

Secondary: 30F99

References

Publication

Received: 27 July 2008
Revised: 17 April 2009
Accepted: 19 January 2009
Published: 5 May 2009
Proposed: Benson Farb
Seconded: Walter Neumann, Danny Calegari

Authors