54 citations · 209 across the 21 of their papers we have counts for
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The Geometry of Deformation Quantization and Self-Dual Gravity
Hugo Garcia-Compean, Jerzy F. Plebanski, Maciej Przanowski
A geometric formulation of the Moyal deformation for the Self-dual Yang-Mills theory and the Chiral Model approach to Self-dual gravity is given. We find in Fedosov's geometrical c…
The Generalized Moyal Nahm and Continuous Moyal Toda Equations
Carlos Castro, Jerzy Plebanski
We present in detail a class of solutions to the Moyal Anti Self Dual Yang Mills equations that are related to of the generalized Moyal Nahm quations u…
Differential Forms, Hopf Algebra and General Relativity I
Jerzy F. Plebanski, G. R. Moreno, F. J. Turrubiates
We review the language of differential forms and their applications to Riemannian Geometry with an orientation to General Relativity. Working with the principal algebraic and diffe…
Geometry Associated with Self-dual Yang-Mills and the Chiral Model Approaches to Self-dual Gravity
Hugo Garcia-Compean, Jerzy F. Plebanski, Maciej Przanowski
A geometric formulation of the Moyal deformation for the Self-dual Yang-Mills theory and the Chiral Model approach to Self-dual gravity is given. We find in Fedosov's geometrical c…