Geodesic
Examples of non-rigid CAT(0) groups from the category of knot groups
Mooney, Christopher1
1Department of Mathematical Sciences, University of Wisconsin-Milwaukee, PO Box 413, Milwaukee, Wisconsin 53201-0413, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1667-1690
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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.

DOI : 10.2140/agt.2008.8.1667
Keywords: CAT(0) groups, CAT(0) boundaries, knot groups

Mooney, Christopher  1

1 Department of Mathematical Sciences, University of Wisconsin-Milwaukee, PO Box 413, Milwaukee, Wisconsin 53201-0413, USA 
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Mooney, Christopher. Examples of non-rigid CAT(0) groups from the category of knot groups. Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1667-1690. doi: 10.2140/agt.2008.8.1667

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