Examples of non-rigid CAT(0) groups from the category of knot groups

Mooney, Christopher

doi:10.2140/agt.2008.8.1667

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Examples of non-rigid CAT(0) groups from the category of knot groups

Christopher Paul Mooney

Algebraic & Geometric Topology 8 (2008) 1667–1690

DOI: 10.2140/agt.2008.8.1667

Abstract

C Croke and B Kleiner have constructed an example of a CAT(0) group with more than one visual boundary. J Wilson has proven that this same group has uncountably many distinct boundaries. In this article we prove that the knot group of any connected sum of two non-trivial torus knots also has uncountably many distinct CAT(0) boundaries.

Keywords

CAT(0) groups, CAT(0) boundaries, knot groups

Mathematical Subject Classification 2000

Primary: 57M07, 20F65

References

Publication

Received: 14 June 2007

Revised: 30 May 2008

Accepted: 31 July 2008

Published: 8 October 2008

Authors

Christopher Paul Mooney
Department of Mathematical Sciences University of Wisconsin-Milwaukee PO Box 413 Milwaukee Wisconsin 53201-0413 USA

Volume 8, issue 3 (2008)