Volume 8, issue 3 (2008)

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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
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