Fox-Neuwirth cell structures and the cohomology of symmetric groups

zbMath1282.20058arXiv1110.4137MaRDI QIDQ4914739

Dev P. Sinha, Chad Giusti

Publication date: 15 April 2013

Full work available at URL: https://arxiv.org/abs/1110.4137

zbMATH Keywords

configuration spacescohomology of symmetric groupsFox-Neuwirth cell structures

Mathematics Subject Classification ID

Cohomology of groups (20J06) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Grassmannians, Schubert varieties, flag manifolds (14M15) Geometric structures on manifolds of high or arbitrary dimension (57N16) Symmetric groups (20B30)

Related Items (6)

Mod-two cohomology rings of alternating groups ⋮ The mod \(2\) cohomology of the infinite families of Coxeter groups of type \(B\) and \(D\) as almost-Hopf rings ⋮ Fox-Neuwirth cells, quantum shuffle algebras, and the homology of type-\(B\) Artin groups ⋮ Configuration spaces of disks in an infinite strip ⋮ Configuration spaces and $\Theta _n$ ⋮ Convex equipartitions via equivariant obstruction theory

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