Spanning trees and Khovanov homology

DOI10.1090/S0002-9939-09-09729-9zbMath1183.57011arXivmath/0607510MaRDI QIDQ3629440

Abhijit Champanerkar, Ilya Kofman

Publication date: 27 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607510

zbMATH Keywords

linkJones polynomialKhovanov homologyTait graphspanning tree complex

Mathematics Subject Classification ID

Related Items (24)

THE DEALTERNATING NUMBER AND THE ALTERNATION NUMBER OF A CLOSED 3-BRAID ⋮ Legendrian links and the spanning tree model for Khovanov homology ⋮ The maximal degree of the Khovanov homology of a cable link ⋮ A note on knot Floer thickness and the dealternating number ⋮ Geometrically and diagrammatically maximal knots ⋮ The Turaev genus of torus knots ⋮ Near extremal Khovanov homology of Turaev genus one links ⋮ On knot Floer homology in double branched covers ⋮ A combinatorial spanning tree model for knot Floer homology ⋮ Parity in knot theory and graph-links ⋮ Kauffman's clock lattice as a graph of perfect matchings: a formula for its height ⋮ A DETERMINANT FORMULA FOR THE JONES POLYNOMIAL OF PRETZEL KNOTS ⋮ A survey on the Turaev genus of knots ⋮ Knight move in chromatic cohomology ⋮ Graphs on surfaces and Khovanov homology ⋮ Alternating distances of knots and links ⋮ Totally twisted Khovanov homology ⋮ A Turaev surface approach to Khovanov homology ⋮ Turaev genus, knot signature, and the knot homology concordance invariants ⋮ Density spectra for knots ⋮ Alternation numbers of torus knots with small braid index ⋮ Twisting quasi-alternating links ⋮ Heegaard diagrams corresponding to Turaev surfaces ⋮ Twisted skein homology

Cites Work

• Unnamed Item
• A spanning tree expansion of the Jones polynomial
• A categorification of the Jones polynomial
• Atoms and minimal diagrams of virtual links
• Graphs on surfaces and Khovanov homology
• An endomorphism of the Khovanov invariant
• A SPANNING TREE MODEL FOR KHOVANOV HOMOLOGY
• A combinatorial formula for the signature of alternating diagrams
• Khovanov homology, its definitions and ramifications
• Patterns in Knot Cohomology, I
• Torsion of Khovanov homology

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