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A new cubulation theorem for hyperbolic groups

Presenter
October 27, 2015
Keywords:
  • Geometric Structures on 3-manifolds
Abstract
We prove that if a hyperbolic group $G$ acts cocompactly on a CAT(0) cube complexes and the cell stabilizers are quasiconvex and virtually special, then $G$ is virtually special. This generalizes Agol's Theorem (the case when the action is proper) and Wise's Quasiconvex Hierarchy Theorem (the case when the cube complex is a tree). This is joint work in preparation with Jason Manning.