Relative cubulations and groups with a 2-sphere boundary

Published 21 Feb 2019 in math.GR | (1902.08140v1)

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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