Volume 10, issue 2 (2006)

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The integral cohomology of the group of loops

Craig A Jensen, Jon McCammond and John Meier

Geometry & Topology 10 (2006) 759–784
 arXiv: 0903.0140
Abstract

Let 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 is determined, establishing a conjecture of Brownstein and Lee.

Keywords
nonpositive curvature, CAT(0), decidability
Primary: 20J06
Secondary: 57M07