A DETERMINANT FORMULA FOR THE JONES POLYNOMIAL OF PRETZEL KNOTS

DOI10.1142/S0218216512500629zbMath1251.57006arXiv1011.3661MaRDI QIDQ5388113

Moshe Cohen

Publication date: 17 April 2012

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

Full work available at URL: https://arxiv.org/abs/1011.3661

zbMATH Keywords

spanning treeJones polynomialTutte polynomialperfect matchingKhovanov homologydimer modelpretzel knotknot diagramactivity word

Mathematics Subject Classification ID

Related Items (3)

The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams ⋮ Dehn coloring and the dimer model for knots ⋮ Kauffman's clock lattice as a graph of perfect matchings: a formula for its height

Cites Work

• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• The Jones polynomial of pretzel knots and links
• Zeros of the Jones polynomials for families of pretzel links
• \((-2,3,7)\)-pretzel knot and Reebless foliation
• A SPANNING TREE MODEL FOR KHOVANOV HOMOLOGY
• ON MUTATION AND KHOVANOV HOMOLOGY
• Spanning trees and Khovanov homology
• On the computational complexity of the Jones and Tutte polynomials
• Patterns in Knot Cohomology, I
• TUTTE POLYNOMIALS OF TENSOR PRODUCTS OF SIGNED GRAPHS AND THEIR APPLICATIONS IN KNOT THEORY

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