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KAUFFMAN STATE SUMS AND BRACKET DEFORMATION

NIKOS APOSTOLAKIS

BCC of CUNY, USA

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UWE KAISER

Boise State University, USA

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https://doi.org/10.1142/S0218216507005567Cited by:0 (Source: Crossref)

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.

Keywords:

AMSC: 57M25, 57M35, 57R42

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