Equivariant unknotting numbers of strongly invertible knots
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912230755270656 |
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| author | Boyle, Keegan Chen, Wenzhao |
| author_facet | Boyle, Keegan Chen, Wenzhao |
| contents | We study symmetric crossing change operations for strongly invertible knots. Our main theorem is that the most natural notion of equivariant unknotting number is not additive under connected sum, in contrast with the longstanding conjecture that unknotting number is additive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant unknotting numbers of strongly invertible knots Boyle, Keegan Chen, Wenzhao Geometric Topology 57K10, 57M60 We study symmetric crossing change operations for strongly invertible knots. Our main theorem is that the most natural notion of equivariant unknotting number is not additive under connected sum, in contrast with the longstanding conjecture that unknotting number is additive. |
| title | Equivariant unknotting numbers of strongly invertible knots |
| topic | Geometric Topology 57K10, 57M60 |
| url | https://arxiv.org/abs/2412.09797 |