On the cohomology rings of tree braid groups

  title={On the cohomology rings of tree braid groups},
  author={D. Farley and Lucas Sabalka},
Let Γ be a finite connected graph. The (unlabelled) configuration space UCnΓ of n points on Γ is the space of n-element subsets of Γ . The n-strand braid group of Γ , denoted BnΓ , is the fundamental group of UCnΓ . We use the methods and results of [Daniel Farley, Lucas Sabalka, Discrete Morse theory and graph braid groups, Algebr. Geom. Topol. 5 (2005) 1075–1109. Electronic] to get a partial description of the cohomology rings H(Bn T ), where T is a tree. Our results are then used to prove… CONTINUE READING


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