Links in an open book decomposition and in the standard contact structure

DOI10.1090/S0002-9939-06-08400-0zbMath1110.57005OpenAlexW1540552969MaRDI QIDQ3419957

Hiroshi Matsuda

Publication date: 1 February 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08400-0

zbMATH Keywords

torus linksLegendrian knotsarc presentationsquare bridge presentation

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10)

Related Items (7)

Arc index via the alternating tangle decomposition ⋮ STICK AND RAMSEY NUMBERS OF TORUS LINKS ⋮ Turning Knots into Flowers and Related Undergraduate Research ⋮ ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER ⋮ AN UPPER BOUND ON STICK NUMBER OF KNOTS ⋮ PRIME KNOTS WITH ARC INDEX UP TO 11 AND AN UPPER BOUND OF ARC INDEX FOR NON-ALTERNATING KNOTS ⋮ A TABULATION OF PRIME KNOTS UP TO ARC INDEX 11

Cites Work

• Unnamed Item
• Stabilization in the braid groups. II. Transversal simplicity of knots
• Torus knots in the complements of links and surfaces
• Special positions for essential tori in link complements
• On transversally simple knots
• Knots and contact geometry. I: Torus knots and the figure eight knot.
• An obstruction to sliceness via contact geometry and ``classical gauge theory
• Embedding knots and links in an open book. I: Basic properties
• Arc-presentations of links: Monotonic simplification

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