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2008 Examples of non-rigid CAT(0) groups from the category of knot groups
Christopher Mooney
Algebr. Geom. Topol. 8(3): 1667-1690 (2008). 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.

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Christopher Mooney. "Examples of non-rigid CAT(0) groups from the category of knot groups." Algebr. Geom. Topol. 8 (3) 1667 - 1690, 2008. https://doi.org/10.2140/agt.2008.8.1667

Information

Received: 14 June 2007; Revised: 30 May 2008; Accepted: 31 July 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1163.20028
MathSciNet: MR2448867
Digital Object Identifier: 10.2140/agt.2008.8.1667

Subjects:
Primary: 20F65, 57M07

Rights: Copyright © 2008 Mathematical Sciences Publishers

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