Abstract
In this paper, a method is given for calculating the HOMFLY polynomials of two bridge knots by using a representation of the braid group $\mathbb {B}_4$ into a group of $3\times 3$ matrices. Also, examples will be given of a 2-bridge knot and a 3-bridge knot that have the same Jones polynomial, but different HOMFLY polynomials.
Citation
Bo-hyun Kwon. "On the HOMFLY polynomial of 4-plat presentations of knots." Rocky Mountain J. Math. 46 (1) 243 - 260, 2016. https://doi.org/10.1216/RMJ-2016-46-1-243
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