Abstract

Following the recent work by Chan [1] and Morton and Hadji [2] on the Homflypt polynomials of some generalized Hopf links, we investigate the polynomials of generalized Hopf links. By studying the Kauffman skein module of the solid torus S1 × D2, we establish a similar skein map on the Kauffman skein module of S1 × D2 which has distinct eigenvalues. Furthermore we are able to calculate the Kauffman polynomials of some specific generalized Hopf links.

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