Existence and construction of non-loose knots
Geometric Topology
2023-10-10 v1 Symplectic Geometry
Abstract
In this paper we give necessary and sufficient conditions for a knot type to admit non-loose Legendrian and transverse representatives in some overtwisted contact structure, classify all non-loose rational unknots in lens spaces, and discuss conditions under which non-looseness is preserved under cabling.
Keywords
Cite
@article{arxiv.2310.04908,
title = {Existence and construction of non-loose knots},
author = {Rima Chatterjee and John B. Etnyre and Hyunki Min and Anubhav Mukherjee},
journal= {arXiv preprint arXiv:2310.04908},
year = {2023}
}
Comments
38 pages, 6 figures