Kauffman state sums and bracket deformation

Nikos Apostolakis; Uwe Kaiser

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Kauffman state sums and bracket deformation

Nikos Apostolakis·Uwe Kaiser

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Abstract

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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Nikos Apostolakis, Uwe Kaiser. 2007-08-06. Kauffman state sums and bracket deformation. https://arxiv.org/abs/math/0608551

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