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arXiv:1309.5052 [math.GT]AbstractReferencesReviewsResources

On the HOMFLY polynomial of 4-plat presentations of knots

Bo-hyun Kwon

Published 2013-09-19, updated 2014-06-16Version 4

In this paper, I give a method to calculate the HOMFLY polynomials of knots by using a representation of the braid group B4 into a group of 3 ? 3 matrices. Also, I will give examples of a 2-bridge knot and a 3-bridge knot that have the same Jone polynomial, but di?erent HOMFLY polynomials.

Categories: math.GT
Subjects: 57M27
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