The integral cohomology of the group of loops

Abstract

Let PSigma_n denote the group that can be thought of either as the group of motions of the trivial n-component link or the group of symmetric automorphisms of a free group of rank n. The integral cohomology ring of PSigma_n is determined, establishing a conjecture of Brownstein and Lee.

This is the version published by Geometry & Topology on 11 July 2006

References in corpus (1)

• Dimension of the Torelli group for Out(F_n)

Cited by in corpus (11)

• Centralizers of Lie Algebras Associated to the Descending Central Series of Certain Poly-Free Groups
• FI_W-modules and constraints on classical Weyl group characters
• Resonance of basis-conjugating automorphism groups
• The Burau representations of loop braid groups
• On the pure virtual braid group $P{V}_3$
• Topological complexity of basis-conjugating automorphism groups
• Some non-Koszul algebras from rational homotopy theory
• Finiteness properties for a subgroup of the pure symmetric automorphism group
• Hyperarbres, arbres enracinés et partitions pointées
• On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups
• Remarks Concerning Lubotzky's Filtration