Non-loose torus knots
John B. Etnyre, Hyunki Min, Anubhav Mukherjee
TL;DR
This paper provides a comprehensive classification of Legendrian and transverse torus knots in all contact structures on the 3-sphere, advancing understanding of their geometric properties.
Contribution
It offers a complete coarse classification of Legendrian and transverse torus knots in any contact structure on S^3, filling a significant gap in knot theory.
Findings
Classification of Legendrian and transverse torus knots achieved
Applicable to all contact structures on S^3
Enhances understanding of knot contact geometry
Abstract
We give a complete coarse classification of Legendrian and transverse torus knots in any contact structure on .
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Geometric Analysis and Curvature Flows