
This paper is a self-contained account of an approach to Penrose's twistor theory based on real methods and Dolbeault cohomology. Topics covered include the Penrose transform for linear fields in self-dual spaces and for Yang-Mills fields, propagation from Cauchy data, and the twistor transform.
Cauchy data, Constructive quantum field theory, self-dual spaces, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Dolbeault cohomology, twistor theory, Research exposition (monographs, survey articles) pertaining to differential geometry, Yang-Mills fields, Applications of global differential geometry to the sciences, twistor transform
Cauchy data, Constructive quantum field theory, self-dual spaces, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Dolbeault cohomology, twistor theory, Research exposition (monographs, survey articles) pertaining to differential geometry, Yang-Mills fields, Applications of global differential geometry to the sciences, twistor transform
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