Fox-Neuwirth cell structures and the cohomology of symmetric groups
Algebraic Topology
2012-08-13 v3 K-Theory and Homology
Rings and Algebras
Abstract
We use the Fox-Neuwirth cell structure for one-point compactifications of configuration spaces as the starting point for understanding our recent calculation of the mod-two cohomology of symmetric groups. We then use that calculation to give short proofs of classical results on this cohomology due to Nakaoka and to Madsen. v2. Added references, expanded exposition on the cochain model and a mathematical correction in the final section. v3. Added references.
Keywords
Cite
@article{arxiv.1110.4137,
title = {Fox-Neuwirth cell structures and the cohomology of symmetric groups},
author = {Chad Giusti and Dev Sinha},
journal= {arXiv preprint arXiv:1110.4137},
year = {2012}
}
Comments
18 pages, 6 figures