Negative curvature in graph braid groups
Group Theory
2019-12-24 v1
Abstract
In this article, we initiate a geometric study of graph braid groups. More precisely, by applying the formalism of special colorings introduced in a previous article, we determine precisely when a graph braid group is Gromov-hyperbolic, toral relatively hyperbolic, and acylindrically hyperbolic.
Cite
@article{arxiv.1912.10674,
title = {Negative curvature in graph braid groups},
author = {Anthony Genevois},
journal= {arXiv preprint arXiv:1912.10674},
year = {2019}
}
Comments
29 pages, 9 figures. Extracted from the first version of arXiv:1709.01258