Presentations of Graph Braid Groups

Details Presentations of Graph Braid Groups Presentations of Graph Braid Groups

2009-07-16

arxiv.org/abs/0907.2730v1

Mathematics

Group Theory

27 pages, 11 figures

Scientific paper

10.1515/FORM.2011.086

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.

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