On elementary moves of singular Legendrian knots

Sara Yamaguchi; Noboru Ito

doi:10.17654/0972415x22001

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arXiv · 2201.03956

On elementary moves of singular Legendrian knots

Sara Yamaguchi·Noboru Ito

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Abstract

We have two results. First, we give 96 generating sets oriented singular Reidemeister moves; it is an answer to a question by Bataineh, Khaled, 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.

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BibTeX RIS

Sara Yamaguchi, Noboru Ito. 2022-01-11. On elementary moves of singular Legendrian knots. https://doi.org/10.17654/0972415x22001

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