Kauffman state sums and bracket deformation
Geometric Topology
2007-09-09 v2 Quantum Algebra
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.
Cite
@article{arxiv.math/0608551,
title = {Kauffman state sums and bracket deformation},
author = {Nikos Apostolakis and Uwe Kaiser},
journal= {arXiv preprint arXiv:math/0608551},
year = {2007}
}
Comments
22 pages. In this version we correct some typographical mistakes and improve the exposition in a few places