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

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 B6 into a group of 5× 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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