The Turaev genus of an adequate knot

DOI10.1016/j.topol.2009.07.020zbMath1188.57006OpenAlexW2029816803MaRDI QIDQ1032913

Tetsuya Abe

Publication date: 5 November 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.07.020

zbMATH Keywords

adequate knotKhovanov homologyTuraev surfaceTuraev genus

Mathematics Subject Classification ID

Related Items

On the Seifert graphs of a link diagram and its parallels ⋮ Polynomial invariants and quandles of twisted links ⋮ Link diagrams with low Turaev genus ⋮ The Turaev genus of torus knots ⋮ Near extremal Khovanov homology of Turaev genus one links ⋮ \( \mathcal{Z} \)-compactifiable manifolds which are not pseudocollarable ⋮ Jones diameter and crossing number of knots ⋮ Infinite families of hyperbolic prime knots with alternation number 1 and dealternating number n ⋮ Partial duals of plane graphs, separability and the graphs of knots ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ A survey on the Turaev genus of knots ⋮ A Turaev surface approach to Khovanov homology ⋮ Excluded Minors and the Ribbon Graphs of Knots ⋮ A Jones slopes characterization of adequate knots ⋮ Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A spectral sequence for Khovanov homology with an application to (3,q)-torus links
• On knot Floer width and Turaev genus
• Khovanov homology of torus links
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• On the Kauffman polynomial of an adequate link
• A simple proof of the Murasugi and Kauffman theorems on alternating links
• Almost alternating links
• Some links with non-trivial polynomials and their crossing-numbers
• Knot Floer homology, genus bounds, and mutation
• A categorification of the Jones polynomial
• Graphs on surfaces and Khovanov homology
• The Jones polynomial and graphs on surfaces
• An endomorphism of the Khovanov invariant
• THE DEALTERNATING NUMBER AND THE ALTERNATION NUMBER OF A CLOSED 3-BRAID
• Hard to identify (non-)mutations
• Additional Gradings in Khovanov Homology
• AN ESTIMATION OF THE ALTERNATION NUMBER OF A TORUS KNOT
• THE SPREAD AND EXTREME TERMS OF JONES POLYNOMIALS
• ARC INDEX OF NON-ALTERNATING LINKS
• Union and tangle
• Patterns in Knot Cohomology, I