AN ESTIMATION OF THE ALTERNATION NUMBER OF A TORUS KNOT

DOI10.1142/S021821650900694XzbMath1180.57005MaRDI QIDQ3631179

Tetsuya Abe

Publication date: 5 June 2009

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

Rasmussen \(s\)-invariantalternation numberalmost alternatingsignature of a knot

Mathematics Subject Classification ID

Related Items (15)

THE DEALTERNATING NUMBER AND THE ALTERNATION NUMBER OF A CLOSED 3-BRAID ⋮ The maximal degree of the Khovanov homology of a cable link ⋮ The upsilon invariant at 1 of 3-braid knots ⋮ The Turaev genus of torus knots ⋮ Infinite families of hyperbolic prime knots with alternation number 1 and dealternating number n ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ Alternating distances of knots and links ⋮ ALEXANDER POLYNOMIALS OF ALTERNATING KNOTS OF GENUS TWO II ⋮ Turaev genus, knot signature, and the knot homology concordance invariants ⋮ Alternation numbers of torus knots with small braid index ⋮ The Turaev genus of an adequate knot ⋮ On alternating closed braids ⋮ On alternation numbers of links ⋮ Upper bound for the alternation number of a torus knot ⋮ Rasmussen and Ozsváth–Szabó invariants of a family of general pretzel knots

Cites Work

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• Closed incompressible surfaces in alternating knot and link complements
• Khovanov homology of torus links
• Almost alternating links
• Gauge theory for embedded surfaces. I
• Knot Floer homology and the four-ball genus
• Heegaard Floer homology and alternating knots
• Computations of the Ozsvath-Szabo knot concordance invariant
• Homological thickness and stability of torus knots
• Construction of non-alternating knots
• The Ozsváth-Szabó and Rasmussen concordance invariants are not equal
• Signatures of Covering Links

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