Compositio Mathematica ( IF 1.301 ) Pub Date : 2020-03-24 , DOI: 10.1112/s0010437x20007095
Eduard Einstein; Daniel Groves

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

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