The Kauffman polynomials of generalized Hopf links

Details The Kauffman polynomials of generalized Hopf links The Kauffman polynomials of generalized Hopf links

2001-11-30

arxiv.org/abs/math/0111323v1

Mathematics

Geometric Topology

16 pages, 40 figures, amslatex, using epsf.tex

Scientific paper

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

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