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arXiv · 1902.08140

Relative cubulations and groups with a 2-sphere boundary

Eduard Einstein·Daniel Groves
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Abstract

We introduce a new kind of action of a relatively hyperbolic group on a CAT(0) cube complex, called a relatively geometric action. We provide an application to characterize finite-volume Kleinian groups in terms of action on cube complexes, analogous to the results of Markovic and Ha\"issinsky in the closed case.

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Eduard Einstein, Daniel Groves. 2019-02-21. Relative cubulations and groups with a 2-sphere boundary. https://doi.org/10.1112/s0010437x20007095

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