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Transverse doubled knots and clasp disks

Research paper by Ichiro Torisu

Indexed on: 27 Jul '16Published on: 27 Jul '16Published in: Mathematics - Geometric Topology



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.