Characterizing slopes for $5_2$
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866911909388746752 |
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| author | Baldwin, John A. Sivek, Steven |
| author_facet | Baldwin, John A. Sivek, Steven |
| contents | We prove that all rational slopes are characterizing for the knot $5_2$, except possibly for positive integers. Along the way, we classify the Dehn surgeries on knots in $S^3$ that produce the Brieskorn sphere $Σ(2,3,11)$, and we study knots on which large integral surgeries are almost L-spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_09805 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Characterizing slopes for $5_2$ Baldwin, John A. Sivek, Steven Geometric Topology We prove that all rational slopes are characterizing for the knot $5_2$, except possibly for positive integers. Along the way, we classify the Dehn surgeries on knots in $S^3$ that produce the Brieskorn sphere $Σ(2,3,11)$, and we study knots on which large integral surgeries are almost L-spaces. |
| title | Characterizing slopes for $5_2$ |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2209.09805 |