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 Stoimenow knot. We also show that the Stoimenow knot is not invertible by the Alexander polynomials.
Citation
Teruhisa Kadokami. Yoji Kobatake. "Prime component-preservingly amphicheiral link with odd minimal crossing number." Osaka J. Math. 53 (2) 439 - 462, April 2016.
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