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arXiv · 2402.07539

On two-bridge ribbon knots

Sayo Horigome·Kazuhiro Ichihara
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Abstract

We show that a two-bridge ribbon knot $K(m^2 , m k \pm 1)$ with $m > k >0$ and $(m,k)=1$ admits a symmetric union presentation with partial knot which is a two-bridge knot $K(m,k)$. Similar descriptions for all the other two-bridge ribbon knots are also given.

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Sayo Horigome, Kazuhiro Ichihara. 2024-05-26. On two-bridge ribbon knots. https://arxiv.org/abs/2402.07539

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