A boundary criterion for cubulation

Nicolas Bergeron; Daniel T. Wise

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arXiv · 0908.3609

A boundary criterion for cubulation

Nicolas Bergeron·Daniel T. Wise

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Abstract

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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Nicolas Bergeron, Daniel T. Wise. 2010-02-17. A boundary criterion for cubulation. https://arxiv.org/abs/0908.3609

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