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Functors Extending the Kauffman Bracket

John Armstrong
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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.

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John Armstrong. 2006-09-21. Functors Extending the Kauffman Bracket. https://arxiv.org/abs/math/0609607

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