Transverse-Legendrian links
Geometric Topology
2019-12-25 v1
Abstract
In recent joint works of the present author with M.Prasolov and V.Shastin a new technique for distinguishing Legendrian knots has been developed. In this paper the technique is extended further to provide a tool for distinguishing transverse knots. It is shown that the equivalence problem for transverse knots with trivial orientation-preserving symmetry group is algorithmically solvable. In a future paper the triviality condition for the orientation-preserving symmetry group will be dropped.
Cite
@article{arxiv.1911.11806,
title = {Transverse-Legendrian links},
author = {Ivan Dynnikov},
journal= {arXiv preprint arXiv:1911.11806},
year = {2019}
}
Comments
17 pages, 17 figures