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This post is based on this paper with David Hume. As discussed here, it is a nice property for a group to be quasiisometrically embeddable in a product of finitely many trees. Graph manifolds are certain 3manifolds, and if you … Continue reading
In this post I’ll talk about this paper. There are many groups that have been known for quite a while to “look like” hyperbolic groups, but only in certain “directions”. Examples of such directions are (the axes of ) rank … Continue reading
There are a few types of quasiisometric rigidity results. I will talk about results of the following kinds: 1) selfquasiisometries of suchandsuch space or group (coarsely) preserve some structure, usually a collection of (left cosets) of subgroups 2) if a … Continue reading
I’d like to tell you about a certain family of bilipschitz paths in universal covers of graph manifolds with nice “combinatorial” properties that I used here and later here, and that hopefully will turn out to be useful in other … Continue reading