Braid groups and right angled Artin groups
Geometric Topology
2007-05-23 v1 Group Theory
Abstract
The n-string braid group of a graph X is defined as the fundamental group of the n-point configuration space of the space X. This configuration space is a finite dimensional aspherical space. A. Abrams and R. Ghrist have conjectured that this braid group is a right angled Artin group if X is planar. We prove their conjecture if X is a tree whose nodes all lie in a single interval of X.
Keywords
Cite
@article{arxiv.math/0411368,
title = {Braid groups and right angled Artin groups},
author = {Frank Connolly and Margaret Doig},
journal= {arXiv preprint arXiv:math/0411368},
year = {2007}
}
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13 pages