Covers and the curve complex

Details Covers and the curve complex Covers and the curve complex

2007-01-25

arxiv.org/abs/math/0701719v2

Mathematics

Geometric Topology

12 pages, no figures. Added application to mapping class groups

Scientific paper

We provide the first non-trivial examples of quasi-isometric embeddings
between curve complexes. These are induced either by puncturing a closed
surface or via orbifold coverings. As a corollary, we give new quasi-isometric
embeddings between mapping class groups.

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