Quasi-isometric classification of some high dimensional right-angled Artin groups (2009)
Behrstock, Jason A., Januszkiewicz, Tadeusz, Neumann, Walter D.
In this note we give the quasi-isometry classification for a class of right angled Artin groups. In particular, we obtain the first such classification for a class of Artin groups with dimension...
Centroids and the Rapid Decay property in mapping class groups (2008)
Behrstock, Jason A., Minsky, Yair N.
We study a notion of a Lipschitz, permutation-invariant "centroid" for triples of points in mapping class groups MCG(S), which satisfies a certain polynomial growth bound. A consequence (via work of...
Quasi-isometric classification of graph manifold groups (2006)
Behrstock, Jason A., Neumann, Walter D.
We show that the fundamental groups of any two closed irreducible non-geometric graph-manifolds are quasi-isometric. This answers a question of Kapovich and Leeb. We also classify the quasi-isometry...
Dimension and rank for mapping class groups (2005)
Behrstock, Jason A., Minsky, Yair N.
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 coincides with the maximal...
Asymptotic geometry of the mapping class group and Teichmueller space (2005)
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 spaces to curve...
Asymptotic geometry of the mapping class group and Teichmüller space, preprint (2005)
In this work, we study the asymptotic geometry of the mapping class group and Teichmuller space. We introduce tools for analyzing the geometry of “projection” maps from these spaces to curve...