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arXiv · 2010.14441

Relatively geometric actions on CAT(0) cube complexes

Eduard Einstein·Daniel Groves
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Abstract

We develop the foundations of the theory of relatively geometric actions of relatively hyperbolic groups on CAT(0) cube complexes, a notion introduced in our previous work [5]. In the relatively geometric setting we prove: full relatively quasi-convex subgroups are convex compact; an analog of Agol's Theorem; and a version of Haglund--Wise's Canonical Completion and Retraction.

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Eduard Einstein, Daniel Groves. 2021-10-07. Relatively geometric actions on CAT(0) cube complexes. https://doi.org/10.1112/jlms.12556

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