State cycles which represent the canonical class of Lee's homology of a knot

DOI10.1016/J.TOPOL.2011.11.042zbMath1251.57002OpenAlexW2053046124MaRDI QIDQ409582

Tetsuya Abe

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.042

zbMATH Keywords

filtrationKhovanov homologypretzel knotRasmussen invarianthomogeneous diagramLee's complexSeifert circleSeifert graphslice-Bennequin inequalitystate cycle

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Coloring of graphs and hypergraphs (05C15) Other homology theories in algebraic topology (55N35)

Cites Work

• Khovanov homology and the slice genus
• The Rasmussen invariants and the sharper slice-Bennequin inequality on knots
• Ozsváth-Szabó and Rasmussen invariants of cable knots
• Man and machine thinking about the smooth 4-dimensional Poincaré conjecture
• On Khovanov's categorification of the Jones polynomial
• Computations of the Ozsvath-Szabo knot concordance invariant
• Transverse knots and Khovanov homology
• Ozsváth-Szabó and Rasmussen invariants of doubled knots
• An endomorphism of the Khovanov invariant
• Computable bounds for Rasmussen’s concordance invariant
• KHOVANOV HOMOLOGY AND RASMUSSEN'S s-INVARIANTS FOR PRETZEL KNOTS
• The Ozsváth-Szabó and Rasmussen concordance invariants are not equal
• Categorification of the Colored Jones Polynomial and Rasmussen Invariant of Links
• The Rasmussen invariant of a homogeneous knot
• RASMUSSEN INVARIANT, SLICE-BENNEQUIN INEQUALITY, AND SLICENESS OF KNOTS
• Slice knots with distinct Ozsváth-Szabó and Rasmussen invariants

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