367 citations · 1.1k across the 16 of their papers we have counts for
17 papers
Lie algebras of curves and loop-bundles on surfaces
Juan Alonso, Miguel Paternain, Javier Peraza +1
W. Goldman and V. Turaev defined a Lie bialgebra structure on the -module generated by free homotopy classes of loops of an oriented surface (i.e. the conjugacy classes…
On the classical and quantum Geroch group
Javier Peraza, Miguel Paternain, Michael Reisenberger
The Geroch group is an infinite dimensional transitive group of symmetries of classical cylindrically symmetric gravitational waves which acts by non-canonical transformations on t…
The Poisson brackets of free null initial data for vacuum general relativity
Michael P Reisenberger
A hypersurface composed of two null sheets, or "light fronts", swept out by the two congruences of future null normal geodesics emerging from a spacelike 2-disk can serve as a Cauc…
Integrable structures and the quantization of free null initial data for gravity
Andreas Fuchs, Michael Reisenberger
Variables for constraint free null canonical vacuum general relativity are presented which have simple Poisson brackets that facilitate quantization. Free initial data for vacuum g…
The symplectic 2-form for gravity in terms of free null initial data
Michael P. Reisenberger
A hypersurface formed of two null sheets, or "light fronts", swept out by the future null normal geodesics emerging from a common spacelike 2-disk can serve as a Cauchy surface for…
The Poisson bracket on free null initial data for gravity
Michael P. Reisenberger
Free initial data for general relativity on a pair of intersecting null hypersurfaces are well known, but the lack of a Poisson bracket and concerns about caustics have stymied the…