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
-
14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
- Subjects
- Dates
-
Issue 40 (11 October 2002)
Received 20 May 2002, in final form 27 May 2002
Published 24 September 2002
-
Surface embedding, topology and dualization for spin networks
Peter Kramer and Miguel Lorente 2002 J. Phys. A: Math. Gen. 35 8563
-
How far away is far enough for extracting numerical waveforms, and how much do they depend on the extraction method?
Enrique Pazos et al 2007 Class. Quantum Grav. 24 S341
-
Moving black holes via singularity excision
Deirdre Shoemaker et al 2003 Class. Quantum Grav. 20 3729
-
Complex square well - a new exactly solvable quantum mechanical model
Carl M Bender et al 1999 J. Phys. A: Math. Gen. 32 6771
-
Rotating collapse of stellar iron cores in general relativity
C D Ott et al 2007 Class. Quantum Grav. 24 S139
-
Histories approach to general relativity: I. The spacetime character of the canonical description
Ntina Savvidou 2004 Class. Quantum Grav. 21 615
-
Histories approach to general relativity: II. invariance groups
Ntina Savvidou 2004 Class. Quantum Grav. 21 631
-
Towards standard testbeds for numerical relativity
Miguel Alcubierre et al 2004 Class. Quantum Grav. 21 589
-
Perfect fluids and Ashtekar variables, with applications to Kantowski-Sachs models
L Bombelli and R J Torrence 1990 Class. Quantum Grav. 7 1747
-
On the concepts of Lie and covariant derivatives of spinors: part II
D J Hurley and M A Vandyck 1994 J. Phys. A: Math. Gen. 27 5941
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Generalized Bernoulli-Hurwitz numbers and the universal Bernoulli numbers
- Trajectory attractors of equations of mathematical physics
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities