Legendrian Non-Simple Two-Bridge Knots
Symplectic Geometry
2020-04-03 v2 Geometric Topology
Abstract
By examining knot Floer homology, we extend a result of Ozsv\'ath and Stipsicz and show further infinitely many Legendrian and transversely non-simple knot types among two-bridge knots. We give sufficient conditions of Legendrian and transverse non-simplicity on the continued fraction expansion of the corresponding rational number.
Cite
@article{arxiv.1811.08841,
title = {Legendrian Non-Simple Two-Bridge Knots},
author = {Viktória Földvári},
journal= {arXiv preprint arXiv:1811.08841},
year = {2020}
}