Surface embedding, topology and dualization for spin networks

Details Surface embedding, topology and dualization for spin networks Surface embedding, topology and dualization for spin networks

2004-01-27

arxiv.org/abs/gr-qc/0401107v1

J.Phys.A35:8563-8574,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX 17 pages, 6 eps figures (late submission to arxiv.org)

Scientific paper

10.1088/0305-4470/35/40/314

Spin networks are graphs derived from 3nj symbols of angular momentum. The surface embedding, the topology and dualization of these networks are considered. Embeddings into compact surfaces include the orientable sphere S^2 and the torus T, and the not orientable projective space P^2 and Klein's bottle K. Two families of 3nj graphs admit embeddings of minimal genus into S^2 and P^2. Their dual 2-skeletons are shown to be triangulations of these surfaces.

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