An algorithm to compute the Kauffman polynomial of 2-bridge knots

DOI10.1216/RMJ-2010-40-3-977zbMath1195.57017arXivmath/0606114MaRDI QIDQ983504

Bin Lu, Jianyuan Kathy Zhong

Publication date: 23 July 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606114

zbMATH Keywords

rational knotsKauffman polynomialsKauffman skein modulesrelative skein modules

Mathematics Subject Classification ID

Related Items (2)

The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams ⋮ General \(L_{p}\)-dual Blaschke bodies and the applications

Uses Software

• Maple
• Mathematica
• Mathcad

Cites Work

• Mathcad
• Rational tangles
• A polynomial invariant of oriented links
• Symmetry of links and classification of lens spaces
• On the Kauffman skein modules
• On the classification of rational knots
• The topological classification of the lens spaces
• Skein construction of idempotents in Birman-Murakami-Wenzl algebras
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