On elementary moves of singular Legendrian knots
Geometric Topology
2022-06-14 v1
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.
Cite
@article{arxiv.2201.03956,
title = {On elementary moves of singular Legendrian knots},
author = {Sara Yamaguchi and Noboru Ito},
journal= {arXiv preprint arXiv:2201.03956},
year = {2022}
}
Comments
6 pages