On chain link surgeries bounding rational homology balls and $χ$-slice 3-braid closures
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866917996419612672 |
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| author | Brejevs, Vitalijs Simone, Jonathan |
| author_facet | Brejevs, Vitalijs Simone, Jonathan |
| contents | We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently developed by Greene and Owens. We discuss a practical method of computing it, and, as an application, prove that a generalisation of the slice--ribbon conjecture holds for all but one infinite family of quasi-alternating 3-braid links. This extends previous results of Lisca concerning the conjecture for 3-braid knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_06573 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On chain link surgeries bounding rational homology balls and $χ$-slice 3-braid closures Brejevs, Vitalijs Simone, Jonathan Geometric Topology We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently developed by Greene and Owens. We discuss a practical method of computing it, and, as an application, prove that a generalisation of the slice--ribbon conjecture holds for all but one infinite family of quasi-alternating 3-braid links. This extends previous results of Lisca concerning the conjecture for 3-braid knots. |
| title | On chain link surgeries bounding rational homology balls and $χ$-slice 3-braid closures |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2301.06573 |