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Relative cubulations and groups with a 2-sphere boundary
Published online by Cambridge University Press: 24 March 2020
Abstract
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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- Research Article
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- Copyright
- © The Authors 2020
Footnotes
The second author was partially supported by the National Science Foundation, DMS-1507067.
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