Legendrian large cables and new phenomenon for nonuniformly thick knots

McCullough, Andrew

doi:10.2140/agt.2023.23.2561

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Legendrian large cables and new phenomenon for nonuniformly thick knots

Andrew McCullough

Algebraic & Geometric Topology 23 (2023) 2561–2591

DOI: 10.2140/agt.2023.23.2561

Abstract

We define the notion of a knot type having Legendrian large cables and show that having this property implies that the knot type is not uniformly thick. We then show that there exists an infinite family of ribbon knots that have Legendrian large cables. These knots fail to be uniformly thick in several ways not previously seen. We also give a general construction of ribbon knots, and show when they give similar such examples.

Keywords

Legendrian large cables, nonuniformly thick knots, cables and contact structures

Mathematical Subject Classification

Primary: 57K10, 57K33, 57R65

References

Publication

Received: 7 October 2020

Revised: 30 August 2021

Accepted: 16 October 2021

Published: 7 September 2023

Authors

Andrew McCullough
Powder Springs, GA United States

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Volume 23, issue 6 (2023)