Special alternating links of minimal unlinking number
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912979897810944 |
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| author | McCoy, Duncan Park, JungHwan |
| author_facet | McCoy, Duncan Park, JungHwan |
| contents | For any link in the 3-sphere, there is a natural lower bound for the unlinking number in terms of the classical signature. We prove that if this lower bound is sharp for a special alternating link $L$, then the unlinking number of $L$ is necessarily realized by crossing changes in any alternating diagram for $L$. As an application, we compute new values of the unknotting numbers for some special alternating knots with crossing number 11 and 12. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10732 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Special alternating links of minimal unlinking number McCoy, Duncan Park, JungHwan Geometric Topology For any link in the 3-sphere, there is a natural lower bound for the unlinking number in terms of the classical signature. We prove that if this lower bound is sharp for a special alternating link $L$, then the unlinking number of $L$ is necessarily realized by crossing changes in any alternating diagram for $L$. As an application, we compute new values of the unknotting numbers for some special alternating knots with crossing number 11 and 12. |
| title | Special alternating links of minimal unlinking number |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2603.10732 |