Legendrian Negative Torus Knots in Universally Tight Lens Spaces
Geometric Topology
2024-12-09 v2 Symplectic Geometry
Abstract
The main theorem characterizes all Legendrian negative torus knots in universally tight lens space in the sense of coarse equivalence. Together with Onaran's results on Legendrian positive torus knots, all Legendrian torus knots in universally tight lens space is classified. The main method is splitting L(p, q) by convex Heegaard decomposition.
Keywords
Cite
@article{arxiv.2302.04199,
title = {Legendrian Negative Torus Knots in Universally Tight Lens Spaces},
author = {Han Zhang},
journal= {arXiv preprint arXiv:2302.04199},
year = {2024}
}