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arXiv · 1309.2888

On the Jones polynomial of 2n-plat presentations of knots

Bo-hyun Kwon
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Abstract

In this paper, a method is given to calculate the Jones polynomial of the 6-plat presentations of knots by using a representation of the braid group $\mathbb{B}_6$ into a group of $5\times 5$ matrices. We also can calculate the Jones polynomial of the $2n$-plat presentations of knots by generalizing the method for the 6-plat presentations of knots.

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Bo-hyun Kwon. 2013-09-16. On the Jones polynomial of 2n-plat presentations of knots. https://arxiv.org/abs/1309.2888

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