Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups
arXiv:0706.1581 · 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.
16 pages, 2 figures