Presentations for the cohomology rings of tree braid groups

Details Presentations for the cohomology rings of tree braid groups Presentations for the cohomology rings of tree braid groups

2006-10-12

arxiv.org/abs/math/0610424v1

Mathematics

Algebraic Topology

25 pages, 14 figures

Scientific paper

If G is a finite graph and n is a natural number, then the n-strand braid
group of G is the fundamental group of the configuration space of n points on
G. This article gives a complete computation of the integral cohomology rings
of the n-strand braid groups in case G is a tree. Some of the argument builds
on earlier joint work with Lucas Sabalka.

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