Positive knots and Lagrangian fillability

DOI10.1090/S0002-9939-2014-12365-3zbMath1311.57033arXiv1307.7683MaRDI QIDQ5179348

Joshua M. Sabloff, Kyle Hayden

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7683

zbMATH Keywords

Lagrangian fillingbraid positive knot typefillable knot typepositive knot typequasi-positive knot typestrongly quasi-positive knot type

Mathematics Subject Classification ID

Related Items (15)

Legendrian satellites and decomposable cobordisms ⋮ On the Lagrangian fillability of almost positive links ⋮ Augmentations and immersed Lagrangian fillings ⋮ Non-Orientable Lagrangian Fillings of Legendrian Knots ⋮ Weave-realizability for \(D\)-type ⋮ On Newton polytopes of Lagrangian augmentations ⋮ Lagrangian fillings of Legendrian 4-plat knots ⋮ Lagrangian cobordisms via generating families: construction and geography ⋮ Minimal braid representatives of quasipositive links ⋮ Contact structures and reducible surgeries ⋮ Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots ⋮ Cross-sections of unknotted ribbon disks and algebraic curves ⋮ Infinitely many Lagrangian fillings ⋮ Unknotted cycles ⋮ A note on generalized Thurston–Bennequin inequalities

Uses Software

• KnotTheory
• Gridlink
• Homfly

Cites Work

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• NOTIONS OF POSITIVITY AND THE OZSVÁTH–SZABÓ CONCORDANCE INVARIANT
• Maximal Bennequin numbers and Kauffman polynomials of positive links
• Calculating the 2-variable polynomial for knots presented as closed braids

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