4 papers
Commensurability and QI classification of free products of finitely generated abelian groups
Jason Behrstock, Tadeusz Januszkiewicz, Walter Neumann
Suppose a group is quasi-isometric to a free product of a finite set of finitely generated abelian groups; let denote the set of ranks of the free abelian parts of the…
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…
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…
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…