English

Presentations for the cohomology rings of tree braid groups

Algebraic Topology 2007-05-23 v1 Group Theory

Abstract

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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Cite

@article{arxiv.math/0610424,
  title  = {Presentations for the cohomology rings of tree braid groups},
  author = {Daniel Farley},
  journal= {arXiv preprint arXiv:math/0610424},
  year   = {2007}
}

Comments

25 pages, 14 figures