Braid groups and right angled Artin groups

Details Braid groups and right angled Artin groups Braid groups and right angled Artin groups

2004-11-16

arxiv.org/abs/math/0411368v1

Mathematics

Geometric Topology

13 pages

Scientific paper

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.

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