English

Functors Extending the Kauffman Bracket

Geometric Topology 2007-05-23 v1

Abstract

In this article we extend evaluations of the Kauffman bracket on regular isotopy classes of knots and links to a variety of functors defined on the category of framed tangles. We show that many such functors exist, and that they correspond up to equivalence to bilinear forms on free, finitely-generated modules over commutative rings.

Keywords

Cite

@article{arxiv.math/0609607,
  title  = {Functors Extending the Kauffman Bracket},
  author = {John Armstrong},
  journal= {arXiv preprint arXiv:math/0609607},
  year   = {2007}
}