229 research outputs found
Prime component-preservingly amphicheiral link with odd minimal crossing number
For every odd integer , we raise an example of a prime
component-preservingly amphicheiral link with the minimal crossing number .
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.Comment: 25 pages, 14 figure
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