Kauffman state sums and bracket deformation

Details Kauffman state sums and bracket deformation Kauffman state sums and bracket deformation

2006-08-22

arxiv.org/abs/math/0608551v2

Journal of Knot Theory and Its Ramifications, Vol. 16, No. 7 (2007), 809 - 831.

Mathematics

Geometric Topology

22 pages. In this version we correct some typographical mistakes and improve the exposition in a few places

Scientific paper

We derive a formula expanding the bracket with respect to a natural deformation parameter. The expansion is in terms of a two-variable polynomial algebra of diagram resolutions generated by basic operations involving the Goldman bracket. A functorial characterization of this algebra is given. Differentiability properties of the star product underlying the Kauffman bracket are discussed.

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