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arxiv: 0812.0425 · v1 · submitted 2008-12-02 · 🧮 math.GT

Quandle and hyperbolic volume

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keywords hyperbolicquandlevolumeamphicheiralitycocyclecompletelydeterminesfurther
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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.

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