Cohomology of quasi-abelianized braid groups
Group Theory
2023-08-29 v2 Algebraic Topology
Combinatorics
Abstract
We investigate the rational cohomology of the quotient of (generalized) braid groups by the commutator subgroup of the pure braid groups. We provide a combinatorial description of it using isomorphism classes of certain families of graphs. We establish Poincar\'e dualities for them and prove a stabilization property for the infinite series of reflection groups.
Keywords
Cite
@article{arxiv.2111.05731,
title = {Cohomology of quasi-abelianized braid groups},
author = {Filippo Callegaro and Ivan Marin},
journal= {arXiv preprint arXiv:2111.05731},
year = {2023}
}
Comments
Revision to correct error in previous version