Characterization of non-self OU sequences of two-component link diagrams
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917454292189184 |
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| author | Sakata, Naoki Shimizu, Ayaka Shimokawa, Koya |
| author_facet | Sakata, Naoki Shimizu, Ayaka Shimokawa, Koya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01279 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characterization of non-self OU sequences of two-component link diagrams Sakata, Naoki Shimizu, Ayaka Shimokawa, Koya Geometric Topology 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. |
| title | Characterization of non-self OU sequences of two-component link diagrams |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2605.01279 |