Computer algebra and colored Jones polynomials

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摘要

In this paper, we apply computer algebra (MAPLE) techniques to calculate the N-colored Jones polynomial of the trefoil knot and the figure eight knot. For this purpose, a computer program was developed. When an integer N ⩾ 2 is given, the program calculates the N-colored Jones polynomial of the trefoil and the figure eight knot.

论文关键词:Jones polynomial,Colored Jones polynomial,Bracket skein module,MAPLE

论文评审过程:Available online 13 June 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.04.044