Generalized Barrett-Crane Vertices and Invariants of Embedded Graphs
Quantum Algebra
2009-09-25 v1 Combinatorics
Abstract
We describe q-analogues of the 4-vertices in the Spin(4)-recoupling theory introduced by Barrett and Crane in gr-qc/9709028 using Kauffman-Lins SU(2)-recoupling theory in each factor and generalize them to obtain operators with the symmetry properties of unframed n-vertices. The elementary properties of the resulting invariants of embedded unframed graphs are examined.
Cite
@article{arxiv.math/9801131,
title = {Generalized Barrett-Crane Vertices and Invariants of Embedded Graphs},
author = {David N. Yetter},
journal= {arXiv preprint arXiv:math/9801131},
year = {2009}
}
Comments
15 pages LaTeX 1, Encapulated PostScript figure, other LaTex figs