Presentations of Graph Braid Groups
Group Theory
2011-10-13 v1
Abstract
Let G be a graph. The (unlabeled) configuration space of n points on G is the space of all n-element subsets of G. The fundamental group of such a configuration space is called a graph braid group. We use a version of discrete Morse theory to compute presentations of all graph braid groups, for all finite connected graphs G and all natural numbers n.
Cite
@article{arxiv.0907.2730,
title = {Presentations of Graph Braid Groups},
author = {Daniel Farley and Lucas Sabalka},
journal= {arXiv preprint arXiv:0907.2730},
year = {2011}
}
Comments
27 pages, 11 figures