Abstract

We give a skein relation for the HOMFLYPT polynomials of 2-cable links. We have constructed arbitrarily many 2-bridge knots sharing the same HOMFLYPT, Kauffman, and Links-Gould polynomials, and arbitrarily many 2-bridge links sharing the same HOMFLYPT, Kauffman, Links-Gould, and 2-variable Alexander polynomials. Using the skein relation, we show their 2-cable links also share the same HOMFLYPT polynomials.

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