Heegaard diagrams corresponding to Turaev surfaces

DOI10.1142/S0218216515500261zbMath1337.57008arXiv1408.1304MaRDI QIDQ5255362

Nathan Druivenga, Thomas Kindred, Cody W. Armond

Publication date: 15 June 2015

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

Full work available at URL: https://arxiv.org/abs/1408.1304

zbMATH Keywords

knot diagramTuraev surfaceTuraev genusHeegaard diagramstate surfacealternating decomposition

Mathematics Subject Classification ID

Related Items (4)

Link diagrams with low Turaev genus ⋮ Alternating distances of knots and links ⋮ The graded count of quasi-trees is not a knot invariant ⋮ A Jones slopes characterization of adequate knots

Cites Work

• Closed incompressible surfaces in alternating knot and link complements
• On knot Floer width and Turaev genus
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Some links with non-trivial polynomials and their crossing-numbers
• A Turaev surface approach to Khovanov homology
• Graphs on surfaces and Khovanov homology
• The Jones polynomial and graphs on surfaces
• Quasi-tree expansion for the Bollobás-Riordan-Tutte polynomial
• A SPANNING TREE MODEL FOR KHOVANOV HOMOLOGY
• Spanning trees and Khovanov homology
• A polynomial invariant for knots via von Neumann algebras
• THE SPREAD AND EXTREME TERMS OF JONES POLYNOMIALS
• Homogeneous Links
• Turaev genus, knot signature, and the knot homology concordance invariants

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