Genera of two-component alternating links

Noboru Ito; Nodoka Kawajiri

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arXiv · 2602.05673

Genera of two-component alternating links

Noboru Ito·Nodoka Kawajiri

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Abstract

We extend the equality-type results of Ito--Takimura and Kindred for the non-orientable genera of alternating knots to the setting of two-component alternating links. We show that, for such links, a unified quantity capturing both orientable and non-orientable genera is completely determined by the splice sequence realizing the splice-unknotting number up to an explicit correction term.

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Noboru Ito, Nodoka Kawajiri. 2026-02-05. Genera of two-component alternating links. https://arxiv.org/abs/2602.05673

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