ALTERNATING SUM FORMULAE FOR THE DETERMINANT AND OTHER LINK INVARIANTS

DOI10.1142/S021821651000811XzbMath1200.57008arXivmath/0611025MaRDI QIDQ3581165

Efstratia Kalfagianni, Neal Stoltzfus, Oliver T. Dasbach, David Futer, Xiao Song Lin

Publication date: 16 August 2010

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

Full work available at URL: https://arxiv.org/abs/math/0611025

zbMATH Keywords

Jones polynomialdessin d'enfantTuraev genuslink determinant

Mathematics Subject Classification ID

Related Items (18)

On the Seifert graphs of a link diagram and its parallels ⋮ The spectra of volume and determinant densities of links ⋮ Crosscap numbers and the Jones polynomial ⋮ Minimal sufficient sets of colors and minimum number of colors ⋮ Near extremal Khovanov homology of Turaev genus one links ⋮ Non-orientable quasi-trees for the Bollobás-Riordan polynomial ⋮ Partial duals of plane graphs, separability and the graphs of knots ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ On the degree of the colored Jones polynomial ⋮ Graphs on surfaces and Khovanov homology ⋮ A reduced set of moves on one-vertex ribbon graphs coming from links ⋮ Equivalence of edge bicolored graphs on surfaces ⋮ A Turaev surface approach to Khovanov homology ⋮ The graded count of quasi-trees is not a knot invariant ⋮ Turaev genus, knot signature, and the knot homology concordance invariants ⋮ Excluded Minors and the Ribbon Graphs of Knots ⋮ Twisting quasi-alternating links ⋮ Matroids, delta-matroids and embedded graphs

Cites Work

• A polynomial of graphs on surfaces
• Symmetric links and Conway sums: volume and Jones polynomial
• Representation of links by braids: A new algorithm
• A spanning tree expansion of the Jones polynomial
• Heegaard Floer homology and alternating knots
• On the Melvin-Morton-Rozansky conjecture
• The Jones polynomial and graphs on surfaces
• A Polynomial Invariant of Graphs On Orientable Surfaces
• THE SPREAD AND EXTREME TERMS OF JONES POLYNOMIALS
• On the computational complexity of the Jones and Tutte polynomials
• Extreme coefficients of Jones polynomials and graph theory
• On the head and the tail of the colored Jones polynomial

This page was built for publication: ALTERNATING SUM FORMULAE FOR THE DETERMINANT AND OTHER LINK INVARIANTS