(1,1) almost L-space knots
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908589835157504 |
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| author | Binns, Fraser Zhou, Hugo |
| author_facet | Binns, Fraser Zhou, Hugo |
| contents | We give a diagrammatic characterization of the $(1,1)$ knots in the three-sphere and lens spaces which admit large Dehn surgeries to manifolds with Heegaard Floer homology of next-to-minimal rank. This is inspired by a corresponding result for $(1,1)$ knots which admit large Dehn surgeries to manifolds with Heegaard Floer homology of minimal rank due to Greene-Lewallen-Vafaee. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_11475 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | (1,1) almost L-space knots Binns, Fraser Zhou, Hugo Geometric Topology 57K10, 57K18 We give a diagrammatic characterization of the $(1,1)$ knots in the three-sphere and lens spaces which admit large Dehn surgeries to manifolds with Heegaard Floer homology of next-to-minimal rank. This is inspired by a corresponding result for $(1,1)$ knots which admit large Dehn surgeries to manifolds with Heegaard Floer homology of minimal rank due to Greene-Lewallen-Vafaee. |
| title | (1,1) almost L-space knots |
| topic | Geometric Topology 57K10, 57K18 |
| url | https://arxiv.org/abs/2304.11475 |