4 papers
Weaving Geodesics and New Phenomena in Horocyclic Dynamics
Françoise Dal'bo, James Farre, Or Landesberg +1
We construct geometrically infinite hyperbolic surfaces supporting horocycles with tailored recurrence properties. In particular, we obtain the first examples of non-trivial minima…
Asymptotically CAT(0) metrics, Z-structures, and the Farrell-Jones Conjecture
Matthew Gentry Durham, Yair Minsky, Alessandro Sisto
We show that colorable hierarchically hyperbolic groups (HHGs) admit asymptotically CAT(0) metrics, that is, roughly, metrics where the CAT(0) inequality holds up to sublinear erro…
Surface groups are flexibly stable
Nir Lazarovich, Arie Levit, Yair Minsky
We show that surface groups are flexibly stable in permutations. This is the first non-trivial example of a non-amenable flexibly stable group. Our method is purely geometric and r…
Simultaneous universal circles
Michael P. Landry, Yair N. Minsky, Samuel J. Taylor
Let phi be a pseudo-Anosov flow on a closed oriented atoroidal 3-manifold M. We show that if F is any taut foliation almost transverse to phi, then the action of pi_1(M) on the bou…