We have two results. First, we give 96 generating sets of oriented singular Reidemeister moves; it is an answer to a question by Bataineh, Elhamdadi and Hajij who give a generating set of oriented singular Reidemeister moves using their computation. Second, in the theory of plane curve and Legendrian knots introduced by V. I. Arnold, we select which moves survive as those of Legendrian singular knots and fronts diagrammatically and explicitly.

Legendrian front, Legendrian knot, contact structure, Legendrian singular knot, singular knot, plane curve.

Received: January 5, 2022; Accepted: February 18, 2022; Published: February 26, 2022

How to cite this article: Sara Yamaguchi and Noboru Ito, On elementary moves of singular Legendrian knots, JP Journal of Geometry and Topology 27 (2022), 1-9. http://dx.doi.org/10.17654/0972415X22001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

References:

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