Covers and the Curve Complex
نویسندگان
چکیده
We propose a program of studying the coarse geometry of combinatorial moduli spaces of surfaces by classifying the quasi-isometric embeddings between them. We provide the first non-trivial examples of quasi-isometric embeddings between curve complexes. These are induced either via orbifold coverings or by puncturing a closed surface. As a corollary, we give new quasiisometric embeddings between mapping class groups.
منابع مشابه
A Note on Hurwitz Schemes of Covers of a Positive Genus Curve
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