Legendrian large cables and new phenomenon for nonuniformly thick knots

DOI10.2140/agt.2023.23.2561arXiv1810.12327OpenAlexW2899218935MaRDI QIDQ6148481

Andrew D. B. McCullough

Publication date: 11 January 2024

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12327

zbMATH Keywords

cables and contact structuresLegendrian large cablesnonuniformly thick knots

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Knot theory (57K10) Contact structures in 3 dimensions (57K33)

Cites Work

• Legendrian and transverse cables of positive torus knots
• Convexité en topologie de contact. (Convexity in contact topology)
• The classification of tight contact structures on the 3-torus
• On the classification of tight contact structures. I
• Classification of overtwisted contact structures on 3-manifolds
• Knots and contact geometry. I: Torus knots and the figure eight knot.
• Cabling and transverse simplicity
• Elementary surgery along a torus knot
• Contact structures and reducible surgeries
• Symplectic Fillings, Contact Surgeries, and Lagrangian Disks
• NOTIONS OF POSITIVITY AND THE OZSVÁTH–SZABÓ CONCORDANCE INVARIANT
• Legendrian Satellites
• Maximal Thurston–Bennequin number and reducible Legendrian surgery

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