Prime component-preservingly amphicheiral link with odd minimal crossing number

Teruhisa Kadokami; Yoji Kobatake

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arXiv · 1202.6488

Prime component-preservingly amphicheiral link with odd minimal crossing number

Teruhisa Kadokami·Yoji Kobatake

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Abstract

For every odd integer $c\ge 21$, we raise an example of a prime component-preservingly amphicheiral link with the minimal crossing number $c$. The link has two components, and consists of an unknot and a knot which is $(-)$-amphicheiral with odd minimal crossing number. We call the latter knot a {\it Stoimenow knot}. We also show that the Stoimenow knot is not invertible by the Alexander polynomials.

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Teruhisa Kadokami, Yoji Kobatake. 2012-02-29. Prime component-preservingly amphicheiral link with odd minimal crossing number. https://arxiv.org/abs/1202.6488

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