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.

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

References in corpus (3)

• Basis-conjugating automorphisms of a free group and associated Lie algebras
• Dimension of the Torelli group for Out(F_n)
• The Johnson homomorphism and the second cohomology of IA_n

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