Coning-off CAT(0) cube complexes
Group Theory
2016-03-22 v1 Geometric Topology
Abstract
In this paper, we study the geometry of cone-offs of CAT(0) cube complexes over a family of combinatorially convex subcomplexes, with an emphasis on their Gromov-hyperbolicity. A first application gives a direct cubical proof of the characterization of the (strong) relative hyperbolicity of right-angled Coxeter groups, which is a particular case of a result due to Behrstock, Caprace and Hagen. A second application gives the acylindrical hyperbolicity of small cancellation quotients of free products.
Keywords
Cite
@article{arxiv.1603.06513,
title = {Coning-off CAT(0) cube complexes},
author = {Anthony Genevois},
journal= {arXiv preprint arXiv:1603.06513},
year = {2016}
}
Comments
45 pages, 13 figures. Comments are welcome