Geodesic
Legendrian large cables and new phenomenon for nonuniformly thick knots
McCullough, Andrew1
1 Powder Springs, GA, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 6, pp. 2561-2591

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2023.23.2561
Keywords: Legendrian large cables, nonuniformly thick knots, cables and contact structures

McCullough, Andrew 1

1 Powder Springs, GA, United States 
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McCullough, Andrew. Legendrian large cables and new phenomenon for nonuniformly thick knots. Algebraic and Geometric Topology, Tome 23 (2023) no. 6, pp. 2561-2591. doi: 10.2140/agt.2023.23.2561

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