Generalized Tait conjecture IV on amphicheiral links

Let LL be an amphicheiral link in S3S^3, meaning that an orientation-reversing homeomorphism of S3S^3 maps each component of LL to a component of LL, possibly reversing orientations and permuting the components. Its minimal crossing number is the least number of crossings among all diagrams representing LL. 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.

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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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