The Kauffman Polynomials of 2-bridge Knots

2006/06/05 by Bin Lu, Bin Lü, Lu, Bin +2
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #math.GT #msc:57M25 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0606114

13 pages, 21 figures

arxiv created 2006/06/05 · arxiv updated 2009/12/01

Abstract

The 2-bridge knots are a family of knots with bridge number 2. In this paper, we compute the Kauffman polynomials of 2-bridge knots using the Kauffman skein theory and linear algebra techniques. Our calculation can be easily carried out using Mathematica, Maple, Mathcad, etc.

Related

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• A generating polynomial for the two-bridge knot with Conway's notation C(n,r)
• The Colored Jones Polynomial and the A-Polynomial of Knots
• Twisted Alexander polynomials of 2-bridge knots
• The 2-bridge knots of up to 16 crossings