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Distinguishing Legendrian Knots in Topological Types 7_4, 9_48, 10_136 with maximal Thurston-Benequin numberстатья
- Авторы: Prasolov Maxim, Shastin Vladimir
- Журнал: Journal of Knot Theory and its Ramifications
- Том: 33
- Номер: 1
- Год издания: 2024
- Издательство: World Scientific Publishing Co
- Местоположение издательства: Singapore
- DOI: 10.1142/s0218216523501018
- Аннотация: In a recent work of Dynnikov and Prasolov [I. Dynnikov and M. Prasolov, An algorithm for comparing Legendrian knots, preprint (2023), arXiv:2309.05087] a new method of comparing Legendrian knots with nontrivial symmetry group is proposed. Using this method, we confirm conjectures of [W. Chongchitmate and L. Ng, An atlas of Legendrian knots, Exp. Math. 22(1) (2013) 26–37, arXiv:1010.3997] about Legendrian knots in topological types 74, 948 and 10136. This completes the classification of Legendrian types of rectangular diagrams of knots of complexity up to 9.
- Добавил в систему: Шастин Владимир Алексеевич