Jones diameter and crossing number of knots

DOI10.1016/j.aim.2023.108937OpenAlexW3197474628MaRDI QIDQ2689544

Christine Ruey Shan Lee, Efstratia Kalfagianni

Publication date: 10 March 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12391

zbMATH Keywords

crossing numberWhitehead doublesatellite knotsJones diameter

Mathematics Subject Classification ID

Knot polynomials (57K14) Knot theory (57K10)

Uses Software

• KnotInfo

Cites Work

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• The Jones slopes of a knot
• The Bar-Natan skein module of the solid torus and the homology of \((n, n)\) Springer varieties
• Knot cabling and the degree of the colored Jones polynomial
• The Turaev genus of an adequate knot
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Kauffman's polynomial and alternating links
• A simple proof of the Murasugi and Kauffman theorems on alternating links
• Some links with non-trivial polynomials and their crossing-numbers
• The first 1,701,936 knots
• 3-valent graphs and the Kauffman bracket
• The strong slope conjecture for twisted generalized Whitehead doubles
• The Jones polynomial and graphs on surfaces
• Jones slopes and coarse volume of near-alternating knots
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• A Jones slopes characterization of adequate knots
• Elementary knot theory

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