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arXiv:0812.0425 [math.GT]AbstractReferencesReviewsResources

Quandle and hyperbolic volume

Ayumu Inoue

Published 2008-12-02Version 1

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.

Comments: 17 pages, 10 figures
Categories: math.GT
Subjects: 57M25, 57T99
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