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FUNCTORS EXTENDING THE KAUFFMAN BRACKET

JOHN ARMSTRONG

Department of Mathematics, Tulane University, 6823 Saint Charles Avenue, New Orleans LA 70118, USA

https://doi.org/10.1142/S0218216509007282Cited by:0 (Source: Crossref)

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 R.

Keywords:

AMSC: 57M27

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