Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups
Geometric Topology
2016-01-20 v2 Group Theory
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
Cite
@article{arxiv.0706.1581,
title = {Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups},
author = {Christopher Mooney},
journal= {arXiv preprint arXiv:0706.1581},
year = {2016}
}
Comments
16 pages, 2 figures