54 citations · 91 across the 13 of their papers we have counts for
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gr-qc2013
Theory of intersecting loops on a torus
J. E. Nelson, R. F. Picken
We continue our investigation into intersections of closed paths on a torus, to further our understanding of the commutator algebra of Wilson loop observables in 2+1 quantum gravit…
gr-qc2010★ 4 cited
Quantum geometry from 2+1 AdS quantum gravity on the torus
J. E. Nelson, R. F. Picken
Wilson observables for 2+1 quantum gravity with negative cosmological constant, when the spatial manifold is a torus, exhibit several novel features: signed area phases relate the…
gr-qc2004
Quantum Holonomies in (2+1)-Dimensional Gravity
J. E. Nelson, R. F. Picken
We describe an approach to the quantization of (2+1)--dimensional gravity with topology R x T^2 and negative cosmological constant, which uses two quantum holonomy matrices satisfy…