English

The Kauffman polynomials of generalized Hopf links

Geometric Topology 2007-05-23 v1 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.math/0111323,
  title  = {The Kauffman polynomials of generalized Hopf links},
  author = {Jianyuan K. Zhong and Bin Lu},
  journal= {arXiv preprint arXiv:math/0111323},
  year   = {2007}
}

Comments

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