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Presentations of Graph Braid Groups

Authors
  • Farley, Daniel
  • Sabalka, Lucas
Type
Preprint
Publication Date
Jul 15, 2009
Submission Date
Jul 15, 2009
Identifiers
DOI: 10.1515/FORM.2011.086
Source
arXiv
License
Yellow
External links

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.

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