Quandle and hyperbolic volume

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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.
17 pages, 10 figures

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Geometric Topology, 57M25; 57T99

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http://salesiana.dossiersoluciones.com/handle/123456789/209364

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.0425
 http://arxiv.org/abs/0812.0425

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arXiv