Physics – Mathematical Physics
Scientific paper
1999-02-10
Physics
Mathematical Physics
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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