Adjacency of three-manifolds and Brunnian links
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912820522647552 |
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| author | Lidman, Tye Moore, Allison H. |
| author_facet | Lidman, Tye Moore, Allison H. |
| contents | We introduce the notion of adjacency in three-manifolds. A three-manifold $Y$ is $n$-adjacent to another three-manifold $Z$ if there exists an $n$-component link in $Y$ and surgery slopes for that link such that performing Dehn surgery along any nonempty sublink yields $Z$. We characterize adjacencies from three-manifolds to the three-sphere, providing an analogy to Askitas and Kalfagianni's results on $n$-adjacency in knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_06211 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Adjacency of three-manifolds and Brunnian links Lidman, Tye Moore, Allison H. Geometric Topology 57K30, 57K10, 57K16 We introduce the notion of adjacency in three-manifolds. A three-manifold $Y$ is $n$-adjacent to another three-manifold $Z$ if there exists an $n$-component link in $Y$ and surgery slopes for that link such that performing Dehn surgery along any nonempty sublink yields $Z$. We characterize adjacencies from three-manifolds to the three-sphere, providing an analogy to Askitas and Kalfagianni's results on $n$-adjacency in knots. |
| title | Adjacency of three-manifolds and Brunnian links |
| topic | Geometric Topology 57K30, 57K10, 57K16 |
| url | https://arxiv.org/abs/2308.06211 |