Special Alternating Knots are Band Prime
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909427573981184 |
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| author | Boninger, Joe Greene, Joshua Evan |
| author_facet | Boninger, Joe Greene, Joshua Evan |
| contents | We prove that a special alternating knot does not decompose as a non-trivial band sum. This restricts concordances from special alternating knots, and we conjecture that special alternating knots are ribbon concordance minimal. We verify our conjecture in many cases. This work is motivated by another conjecture of Owens and the second author, which posits that the set of alternating knots is downward closed under ribbon concordance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19648 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Special Alternating Knots are Band Prime Boninger, Joe Greene, Joshua Evan Geometric Topology 57K10 We prove that a special alternating knot does not decompose as a non-trivial band sum. This restricts concordances from special alternating knots, and we conjecture that special alternating knots are ribbon concordance minimal. We verify our conjecture in many cases. This work is motivated by another conjecture of Owens and the second author, which posits that the set of alternating knots is downward closed under ribbon concordance. |
| title | Special Alternating Knots are Band Prime |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2310.19648 |