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

Cited by in corpus (4)

• Resonance of basis-conjugating automorphism groups
• On the pure virtual braid group $P{V}_3$
• Topological complexity of basis-conjugating automorphism groups
• Remarks Concerning Lubotzky's Filtration