PRIME COMPONENT-PRESERVINGLY AMPHICHEIRAL LINK WITH ODD MINIMAL CROSSING NUMBER

2012/02/29 by Teruhisa Kadokami, Kadokami, Teruhisa, Yoji Kobatake +1
Computer Science · Mathematics · #57M25 #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #semigroups and automata theory

paper · doi:10.48550/arxiv.1202.6488

openalex publication_date 2012/02/29 · openalex created_date 2022/08/27 · openalex updated_date 2026/07/28

Abstract

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

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• Amphicheiral links with special properties, I
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• Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link
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