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.
Citation
Taizo Kanenobu. "A skein relation for the HOMFLYPT polynomials of two-cable links." Algebr. Geom. Topol. 7 (3) 1211 - 1232, 2007. https://doi.org/10.2140/agt.2007.7.1211
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