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The
integral cohomology of the group of loops
Craig A Jensen, Jon McCammond and John Meier |
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Geometry & Topology 10 (2006) 759–784
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arXiv: 0903.0140 |
Abstract |
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Let denote the group that can be thought of either as the group of motions of the trivial –component link or the group of symmetric automorphisms of a free group of rank . The integral cohomology ring of is determined, establishing a conjecture of Brownstein and Lee. |
Keywords
nonpositive curvature, CAT(0), decidability
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Mathematical Subject Classification 2000
Primary: 20J06
Secondary: 57M07
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References |
Forward citations |
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
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Authors |
| Craig A Jensen | |
| Department of Mathematics University of New Orleans New Orleans, LA 70148 USA |
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| Jon McCammond | |
| Department of Mathematics University of California Santa Barbara, CA 93106 USA |
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| John Meier | |
| Deptartment of Mathematics Lafayette College Easton, PA 18042 USA |
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