THE DEALTERNATING NUMBER AND THE ALTERNATION NUMBER OF A CLOSED 3-BRAID

DOI10.1142/S0218216510008352zbMath1209.57005arXiv0808.0573OpenAlexW2963091675MaRDI QIDQ3164491

Kengo Kishimoto, Tetsuya Abe

Publication date: 28 October 2010

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

Full work available at URL: https://arxiv.org/abs/0808.0573

zbMATH Keywords

braid indexbraidTuraev genusalternation numberdealternating number

Mathematics Subject Classification ID

Related Items (19)

Minimal genus of links and fibering of canonical surfaces ⋮ Alternation by region crossing changes and implications for warping span ⋮ Torsion in thin regions of Khovanov homology ⋮ Small Seifert fibered surgery on hyperbolic pretzel knots ⋮ The upsilon invariant at 1 of 3-braid knots ⋮ Link diagrams with low Turaev genus ⋮ A note on knot Floer thickness and the dealternating number ⋮ The Turaev genus of torus knots ⋮ Near extremal Khovanov homology of Turaev genus one links ⋮ A remark on the finiteness of purely cosmetic surgeries ⋮ Infinite families of hyperbolic prime knots with alternation number 1 and dealternating number n ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ A survey on the Turaev genus of knots ⋮ Alternating distances of knots and links ⋮ Alternation numbers of torus knots with small braid index ⋮ Generating links that are both quasi-alternating and almost alternating ⋮ The Turaev genus of an adequate knot ⋮ On alternating closed braids ⋮ Rasmussen and Ozsváth–Szabó invariants of a family of general pretzel knots

Uses Software

• KnotInfo

Cites Work

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