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arXiv · 2610.10747

Bounds on Legendrian Double Twist Knots

Viktória Földvári·Vera Vértesi
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Abstract

We study Legendrian realizations of double twist knots in the standard tight contact 3-sphere. For the family K(4,m), we give upper bounds on the number of oriented and unoriented Legendrian isotopy classes of maximal Thurston--Bennequin representatives. The proof uses bypass techniques in convex surface theory and the classification of tight contact structures.

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Viktória Földvári, Vera Vértesi. 2026-10-07. Bounds on Legendrian Double Twist Knots. https://arxiv.org/abs/2610.10747

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