Functors Extending the Kauffman Bracket

Details Functors Extending the Kauffman Bracket Functors Extending the Kauffman Bracket

2006-09-21

arxiv.org/abs/math/0609607v1

Mathematics

Geometric Topology

Scientific paper

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.

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