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arXiv · 1912.10674

Negative curvature in graph braid groups

Anthony Genevois
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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.

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Anthony Genevois. 2019-12-23. Negative curvature in graph braid groups. https://arxiv.org/abs/1912.10674

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