Transverse doubled knots and clasp disks
Geometric Topology
2016-07-28 v2 Symplectic Geometry
Abstract
We analyze transverse doubled knots in the standard contact 3-space by using spanned clasp disks. As applications, we will estimate their self-linking number and furthermore we will show that in many cases, transverse twist knots with the maximal self-linking number are unique up to transverse isotopy.
Keywords
Cite
@article{arxiv.math/0505023,
title = {Transverse doubled knots and clasp disks},
author = {Ichiro Torisu},
journal= {arXiv preprint arXiv:math/0505023},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to a crucial gap in the proof of the main theorem