Distinguishing Legendrian knots of topological type $7_4$, $9_{48}$ and $10_{136}$
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913214190583808 |
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| author | Prasolov, Maxim Shastin, Vladimir |
| author_facet | Prasolov, Maxim Shastin, Vladimir |
| contents | In a recent work of I. Dynnikov and M. Prasolov a new method of comparing Legendrian knots with nontrivial symmetry group is proposed. Using this method we confirm conjectures of Ng and Chongchitmate about Legendrian knots in topological types $7_4$, $9_{48}$ and $10_{136}$. This completes the classification of Legendrian types of rectangular diagrams of knots of complexity up to 9. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_15461 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Distinguishing Legendrian knots of topological type $7_4$, $9_{48}$ and $10_{136}$ Prasolov, Maxim Shastin, Vladimir Geometric Topology 57K10, 57K33 In a recent work of I. Dynnikov and M. Prasolov a new method of comparing Legendrian knots with nontrivial symmetry group is proposed. Using this method we confirm conjectures of Ng and Chongchitmate about Legendrian knots in topological types $7_4$, $9_{48}$ and $10_{136}$. This completes the classification of Legendrian types of rectangular diagrams of knots of complexity up to 9. |
| title | Distinguishing Legendrian knots of topological type $7_4$, $9_{48}$ and $10_{136}$ |
| topic | Geometric Topology 57K10, 57K33 |
| url | https://arxiv.org/abs/2306.15461 |