Peter Kramer and Miguel Lorente 2002 J. Phys. A: Math. Gen. 35 8563 doi:10.1088/0305-4470/35/40/314
Surface embedding, topology and dualization for spin networks
Peter Kramer1 and Miguel Lorente2
Show affiliationsSpin 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 S2 and the torus T, and the not orientable projective space P2 and Klein's bottle K. Two families of 3nj graphs admit embeddings of minimal genus into S2 and P2. Their dual 2-skeletons are shown to be triangulations of these surfaces.
- PACS
- MSC
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14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
- Subjects
- Dates
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Issue 40 (11 October 2002)
Received 20 May 2002, in final form 27 May 2002
Published 24 September 2002
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Surface embedding, topology and dualization for spin networks
Peter Kramer and Miguel Lorente 2002 J. Phys. A: Math. Gen. 35 8563
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