On knot Floer width and Turaev genus

DOI10.2140/agt.2008.8.1141zbMath1154.57030arXiv0709.0720OpenAlexW3100511110MaRDI QIDQ945652

Adam M. Lowrance

Publication date: 17 September 2008

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0720

zbMATH Keywords

knotFloer homologyknot diagramTuraev surfaceTuraev genus

Mathematics Subject Classification ID

Related Items (24)

COMPUTATIONS OF HEEGAARD-FLOER KNOT HOMOLOGY ⋮ THE DEALTERNATING NUMBER AND THE ALTERNATION NUMBER OF A CLOSED 3-BRAID ⋮ On the Seifert graphs of a link diagram and its parallels ⋮ On matrix-model approach to simplified Khovanov-Rozansky calculus ⋮ 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 note on thickness of knots ⋮ A remark on the finiteness of purely cosmetic surgeries ⋮ 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 ⋮ Dehn coloring and the dimer model for knots ⋮ Parity in knot theory and graph-links ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ A survey on the Turaev genus of knots ⋮ Alternating distances of knots and links ⋮ A Turaev surface approach to Khovanov homology ⋮ Turaev genus, knot signature, and the knot homology concordance invariants ⋮ Excluded Minors and the Ribbon Graphs of Knots ⋮ Embeddings of Four-valent Framed Graphs into 2-surfaces ⋮ Twisting quasi-alternating links ⋮ The Turaev genus of an adequate knot ⋮ QUASI-ALTERNATING MONTESINOS LINKS ⋮ Heegaard diagrams corresponding to Turaev surfaces

Uses Software

• HFK

Cites Work

• Unnamed Item
• The duality conjecture in formal knot theory
• A simple proof of the Murasugi and Kauffman theorems on alternating links
• Heegaard Floer homology and alternating knots
• Holomorphic disks and knot invariants
• A combinatorial description of knot Floer homology
• Atoms and minimal diagrams of virtual links
• Graphs on surfaces and Khovanov homology
• The Jones polynomial and graphs on surfaces
• COMPUTATIONS OF HEEGAARD-FLOER KNOT HOMOLOGY
• On the Khovanov and knot Floer homologies of quasi-alternating links

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