A boundary criterion for cubulation

Details A boundary criterion for cubulation A boundary criterion for cubulation

2009-08-25

arxiv.org/abs/0908.3609v3

Mathematics

Geometric Topology

Scientific paper

We give a criterion in terms of the boundary for the existence of a proper cocompact action of a word-hyperbolic group on a CAT(0) cube complex. We describe applications towards lattices and hyperbolic 3-manifold groups. In particular, by combining the theory of special cube complexes, the surface subgroup result of Kahn-Markovic, and Agol's criterion, we find that every subgroup separable closed hyperbolic 3-manifold is virtually fibered.

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