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arXiv · 0907.2730

Presentations of Graph Braid Groups

Daniel Farley·Lucas Sabalka
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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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Daniel Farley, Lucas Sabalka. 2009-07-16. Presentations of Graph Braid Groups. https://doi.org/10.1515/form.2011.086

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