Highly Influenced

6 Excerpts

@inproceedings{Farley2008OnTC, title={On the cohomology rings of tree braid groups}, author={D. Farley and Lucas Sabalka}, year={2008} }

- Published 2008
DOI:10.1016/j.jpaa.2007.04.011

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