The Kauffman Polynomials of Generalized Hopf Links

نویسندگان

  • JIANYUAN K. ZHONG
  • BIN LU
چکیده

Following the recent work by Chan [4] and Morton and Hadji [7] 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 × D, we establish a similar skein map on the Kauffman skein module of S × D which has distinct eigenvalues. Furthermore we are able to calculate the Kauffman polynomials of some specific generalized Hopf links.

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تاریخ انتشار 2008