arXiv:math/0609607 Abstract

arXiv:math/0609607 [math.GT]Abstract References Reviews Resources

Functors Extending the Kauffman Bracket

Published 2006-09-21Version 1

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.

Categories: math.GT

Subjects: 57M99

Keywords: kauffman bracket, functors extending, regular isotopy classes, bilinear forms, extend evaluations

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