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Transverse doubled knots and clasp disks

Ichiro Torisu
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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.

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Ichiro Torisu. 2016-07-27. Transverse doubled knots and clasp disks. https://arxiv.org/abs/math/0505023

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