Generalized Tait conjecture IV on amphicheiral links
Generalized Tait conjecture IV on amphicheiral links
Let be an amphicheiral link in , meaning that an orientation-reversing homeomorphism of maps each component of to a component of , possibly reversing orientations and permuting the components. Its minimal crossing number is the least number of crossings among all diagrams representing . Generalized Tait conjecture IV. The minimal crossing number of an amphicheiral link is even. This generalizes the corresponding conjectural statement for amphicheiral knots; the paper presents it as a proposed extension of Tait's conjecture IV, while the supplied source gives no resolution.
Sources & referencesView supporting material
Primary source
Teruhisa Kadokami and Yoji Kobatake, “Prime component-preservingly amphicheiral link with odd minimal crossing number”, arXiv:1202.6488 (2015).
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