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Non-loose torus knots

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arxiv 2206.14848 v2 pith:U3URELKU submitted 2022-06-29 math.GT math.SG

John B. Etnyre , Hyunki Min , Anubhav Mukherjee This is my paper · ORCID
classification math.GTmath.SG
keywords knotstorusclassificationcoarsecompletecontactgivelegendrian
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abstract

We give a complete coarse classification of Legendrian and transverse torus knots in any contact structure on $S^3$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bordered contact invariants and half Giroux torsion

    math.GT 2025-06 conditional novelty 8.0 of 10

    Separating half Giroux torsion does not force the contact invariant to vanish: infinitely many closed counterexamples exist, disproving Ghiggini's conjecture.

  2. Cable links of uniformly thick knot types

    math.GT 2025-07 conditional novelty 7.0 of 10

    For cables with sufficiently large slope, Legendrian realizations of any knot type are classified; new examples show multiply stabilized links can be component-wise isotopic but not Legendrian isotopic.

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