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arxiv: math/0701719 · v2 · pith:EAIESCGDnew · submitted 2007-01-25 · 🧮 math.GT

Covers and the curve complex

classification 🧮 math.GT
keywords curveembeddingsquasi-isometricclassclosedcomplexcomplexescorollary
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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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