The Bubble skein element and applications

DOI10.1142/S021821651450076XzbMath1321.57015arXiv1212.2224OpenAlexW2962969231MaRDI QIDQ5244579

Mustafa Hajij

Publication date: 27 March 2015

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

Full work available at URL: https://arxiv.org/abs/1212.2224

zbMATH Keywords

\(q\)-seriestrivalent graphcolored Jones polynomialKauffman bracketlinear skein

Mathematics Subject Classification ID

Related Items (10)

The one-row-colored 𝔰𝔩3 Jones polynomials for pretzel links ⋮ The tail of a quantum spin network ⋮ Q-Series and quantum spin networks ⋮ The colored Kauffman Skein relation and the head and tail of the colored Jones polynomial ⋮ Twist regions and coefficients stability of the colored Jones polynomial ⋮ A 𝑞-series identity via the 𝔰𝔩₃ colored Jones polynomials for the (2,2𝔪)-torus link ⋮ \(q\)-series and tails of colored Jones polynomials ⋮ Foundations of the Colored Jones Polynomial of singular knots ⋮ On rational knots and links in the solid torus ⋮ The 𝔰𝔩3 colored Jones polynomials for 2-bridge links

Cites Work

• State models and the Jones polynomial
• Three-manifolds and the Temperley-Lieb algebra
• 3-valent graphs and the Kauffman bracket
• Index for subfactors
• Invariants of 3-manifolds via link polynomials and quantum groups
• THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)

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