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arxiv: math/0610424 · v1 · submitted 2006-10-12 · 🧮 math.AT · math.GR

Presentations for the cohomology rings of tree braid groups

classification 🧮 math.AT math.GR
keywords braidcohomologygroupgroupsn-strandringstreeargument
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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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