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math.GT2005
Dimension and rank for mapping class groups
Jason A. Behrstock, Yair N. Minsky
We study the large scale geometry of the mapping class group, MCG. Our main result is that for any asymptotic cone of MCG, the maximal dimension of locally compact subsets coincide…
math.GT2005
Curve complexes and finite index subgroups of mapping class groups
Jason Behrstock, Dan Margalit
Let Mod(S) be the extended mapping class group of a surface S. For S the twice-punctured torus, we show that there exists an isomorphism of finite index subgroups of Mod(S) which i…
math.GT2005
Asymptotic geometry of the mapping class group and Teichmueller space
Jason A Behrstock
In this work, we study the asymptotic geometry of the mapping class group and Teichmueller space. We introduce tools for analyzing the geometry of `projection' maps from these spac…