Legendrian torus knots in lens spaces
Geometric Topology
2017-10-02 v2 Symplectic Geometry
Abstract
In this note, we first classify all topological torus knots lying on the Heegaard torus in lens spaces, and then we study Legendrian representatives of these knots. We classify oriented positive Legendrian torus knots in the universally tight contact structures on the lens spaces up to contactomorphism.
Cite
@article{arxiv.1012.3047,
title = {Legendrian torus knots in lens spaces},
author = {Sinem Onaran},
journal= {arXiv preprint arXiv:1012.3047},
year = {2017}
}
Comments
16 pages, 2 figures. Title is changed. Definitions are cleared, focused only on positive torus knots