#### Volume 10, issue 2 (2006)

 Download this article For screen For printing
 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Other MSP Journals
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
##### Publication
Received: 16 October 2005
Revised: 6 February 2006
Accepted: 3 June 2006
Published: 11 July 2006
Proposed: Benson Farb
Seconded: Joan Birman, Walter Neumann
##### Authors
 Craig A Jensen Department of Mathematics University of New Orleans New Orleans, LA 70148 USA Jon McCammond Department of Mathematics University of California Santa Barbara, CA 93106 USA John Meier Deptartment of Mathematics Lafayette College Easton, PA 18042 USA