Characterization of non-self OU sequences of two-component link diagrams

Naoki Sakata; Ayaka Shimizu; Koya Shimokawa

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arXiv · 2605.01279

Characterization of non-self OU sequences of two-component link diagrams

Naoki Sakata·Ayaka Shimizu·Koya Shimokawa

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Abstract

A non-self OU sequence is a cyclic sequence of crossing information of non-self crossings that is obtained by traversing a knot component of an oriented link diagram. In this paper, we investigate what information can be derived from non-self OU sequences, and we completely characterize pairs of non-self OU sequences of diagrams of two-component links. We also characterize the pairs for specific prime links with crossing number up to five.

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Naoki Sakata, Ayaka Shimizu, Koya Shimokawa. 2026-05-02. Characterization of non-self OU sequences of two-component link diagrams. https://arxiv.org/abs/2605.01279

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