Transverse doubled knots and clasp disks

Details Transverse doubled knots and clasp disks Transverse doubled knots and clasp disks

2005-05-02

arxiv.org/abs/math/0505023v1

Mathematics

Geometric Topology

14 pages, 10 figures

Scientific paper

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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