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Transverse doubled knots and clasp disks

2005/05/02 by Ichiro Torisu, Torisu, Ichiro
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #53C15 #57M50 #Connective tissue disorders research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:53C15 #msc:57M50 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0505023

This paper has been withdrawn by the author due to a crucial gap in the proof of the main theorem

openalex publication_date 2005/05/02 · arxiv created 2016/07/27 · arxiv updated 2016/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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