Distinguishing Legendrian knots of topological type $7_4$, $9_{48}$ and $10_{136}$

Maxim Prasolov; Vladimir Shastin

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arXiv · 2306.15461

Distinguishing Legendrian knots of topological type $7_4$, $9_{48}$ and $10_{136}$

Maxim Prasolov·Vladimir Shastin

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Abstract

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.

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BibTeX RIS

Maxim Prasolov, Vladimir Shastin. 2023-06-27. Distinguishing Legendrian knots of topological type $7_4$, $9_{48}$ and $10_{136}$. https://arxiv.org/abs/2306.15461

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