Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups

Christopher Mooney

doi:10.2140/agt.2008.8.1667

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arXiv · 0706.1581

Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups

Christopher Mooney

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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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BibTeX RIS

Christopher Mooney. 2008-08-06. Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups. https://doi.org/10.2140/agt.2008.8.1667

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