Abstract
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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.
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Keywords
Legendrian large cables, nonuniformly thick knots, cables
and contact structures
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Mathematical Subject Classification
Primary: 57K10, 57K33, 57R65
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Publication
Received: 7 October 2020
Revised: 30 August 2021
Accepted: 16 October 2021
Published: 7 September 2023
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Publishers). Distributed under the Creative Commons
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