Two curious strongly invertible L-space knots
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915781995921408 |
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| author | Baker, Kenneth L. Kegel, Marc McCoy, Duncan |
| author_facet | Baker, Kenneth L. Kegel, Marc McCoy, Duncan |
| contents | We present two examples of strongly invertible L-space knots whose surgeries are never the double branched cover of a Khovanov thin link in the 3-sphere. Consequently, these knots provide counterexamples to a conjectural characterization of strongly invertible L-space knots due to Watson. We also discuss other exceptional properties of these two knots, for example, these two L-space knots have formal semigroups that are actual semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09833 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two curious strongly invertible L-space knots Baker, Kenneth L. Kegel, Marc McCoy, Duncan Geometric Topology 57K10, 57R65, 57R58, 57K16, 57K14, 57K32, 57M12 We present two examples of strongly invertible L-space knots whose surgeries are never the double branched cover of a Khovanov thin link in the 3-sphere. Consequently, these knots provide counterexamples to a conjectural characterization of strongly invertible L-space knots due to Watson. We also discuss other exceptional properties of these two knots, for example, these two L-space knots have formal semigroups that are actual semigroups. |
| title | Two curious strongly invertible L-space knots |
| topic | Geometric Topology 57K10, 57R65, 57R58, 57K16, 57K14, 57K32, 57M12 |
| url | https://arxiv.org/abs/2409.09833 |