Moduli Space of Self-Dual Gauge Fields, Holomorphic Bundles and Cohomology Sets

Physics – Mathematical Physics

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Invited talk at the EWM Workshop on Moduli Spaces in Mathematics and Physics, 2-3 July 1998, Oxford, to appear in the Proceedi

Scientific paper

We discuss the twistor correspondence between complex vector bundles over a
self-dual four-dimensional manifold and holomorphic bundles over its twistor
space and describe the moduli space of self-dual Yang-Mills fields in terms of
Cech and Dolbeault cohomology sets. The cohomological description provides the
geometric interpretation of symmetries of the self-dual Yang-Mills equations.

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