Quandle and hyperbolic volume

Details Quandle and hyperbolic volume Quandle and hyperbolic volume

2008-12-02

arxiv.org/abs/0812.0425v1

Mathematics

Geometric Topology

17 pages, 10 figures

Scientific paper

We show that the hyperbolic volume of a hyperbolic knot is a quandle cocycle
invariant. Further we show that it completely determines invertibility and
positive/negative amphicheirality of hyperbolic knots.

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