Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups
classification
🧮 math.GT
math.GR
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groupboundariesdistinctgroupsknotmanyuncountablyarticle
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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.
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