Distinguishing Legendrian knots of topological type 7₄, 9₄₈ and 10₁₃₆

2023/06/27 by Prasolov, Maxim, Shastin, Vladimir
#57K10 #57K33 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2306.15461

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 7₄, 9₄₈ and 10₁₃₆. This completes the classification of Legendrian types of rectangular diagrams of knots of complexity up to 9.

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