Transverse doubled knots and clasp disks
arXiv:math/0505023
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.
This paper has been withdrawn by the author due to a crucial gap in the proof of the main theorem