The colored Kauffman Skein relation and the head and tail of the colored Jones polynomial

DOI10.1142/S0218216517410024zbMath1365.57017arXiv1401.4537OpenAlexW2964158441MaRDI QIDQ2977914

Mustafa Hajij

Publication date: 20 April 2017

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

Full work available at URL: https://arxiv.org/abs/1401.4537

zbMATH Keywords

skein theorycolored Jones polynomialKauffman bracket skein modulealternating knots and links\(n\)-colored diagram states

Mathematics Subject Classification ID

Related Items (9)

Big data approaches to knot theory: Understanding the structure of the Jones polynomial ⋮ Catalan states of lattice crossing: an application of plucking polynomial ⋮ Twist regions and coefficients stability of the colored Jones polynomial ⋮ \(q\)-series and tails of colored Jones polynomials ⋮ Catalan states of lattice crossing ⋮ Foundations of the Colored Jones Polynomial of singular knots ⋮ Colored Jones polynomials without tails ⋮ Nahm sums, stability and the colored Jones polynomial ⋮ The 𝔰𝔩3 colored Jones polynomials for 2-bridge links

Cites Work

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• The head and tail conjecture for alternating knots
• State models and the Jones polynomial
• Index for subfactors
• Nahm sums, stability and the colored Jones polynomial
• The head and tail of the colored Jones polynomial for adequate knots
• THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS
• An Invariant of Regular Isotopy
• The Bubble skein element and applications
• On the head and the tail of the colored Jones polynomial

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