Genera of two-component alternating links
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866911424389840896 |
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| author | Ito, Noboru Kawajiri, Nodoka |
| author_facet | Ito, Noboru Kawajiri, Nodoka |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05673 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Genera of two-component alternating links Ito, Noboru Kawajiri, Nodoka Geometric Topology 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. |
| title | Genera of two-component alternating links |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.05673 |