Covers and the curve complex

Kasra Rafi; Saul Schleimer

doi:10.2140/gt.2009.13.2141

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Home > Journals > Geom. Topol. > Volume 13 > Issue 4 > Article

2009 Covers and the curve complex

Kasra Rafi, Saul Schleimer

Geom. Topol. 13(4): 2141-2162 (2009). DOI: 10.2140/gt.2009.13.2141

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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.