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N股Montesinos纽结的着色Jones多项式
The Colored Jones Polynomial of N-String Montesinos Knots

DOI: 10.12677/AAM.2024.131009, PP. 70-75

Keywords: 着色Jones多项式,纽结三价图,Montesinos纽结
Colored Jones Polynomial
, Knotted Trivalent Graph, Montesinos Knot

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Abstract:

本文运用纽结三价图计算了当n≥4时,n股Montesinos纽结的着色Jones多项式。算法的关键是构造从θ图到n股Montesinos纽结的三价图变换过程,该算法与n=3的情况有着本质不同。
In this paper we calculate the colored Jones polynomial of n-string Montesinos knots for n≥4 us-ing knotted trivalent graphs. The key point of the algorithm is to construct the operations from a θ graph to a Montesinos knot, and the algorithm has essential difference with the case n=3 .

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