54 citations · 91 across the 13 of their papers we have counts for
13 papers
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…
Higgs bundles and the real symplectic group
Peter B. Gothen
We give an overview of the work of Corlette, Donaldson, Hitchin and Simpson leading to the non-abelian Hodge theory correspondence between representations of the fundamental group…
Variational Lie derivative and cohomology classes
Marcella Palese, Ekkehart Winterroth
We relate cohomology defined by a system of local Lagrangian with the cohomology class of the system of local variational Lie derivative, which is in turn a local variational probl…
Non-linear electrostatic waves in Born-Infeld plasmas
D. A. Burton, H. Wen
Motivated by the suggestion that Born-Infeld plasmas could have significance for electron acceleration in neutron star crusts, we obtain an upper bound on the amplitude of electros…
Symmetric Criticality in Classical Field Theory
C. G. Torre
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais'…
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…