1999/02/10 by Tatiana A. Ivanova, Ivanova, Tatiana A.
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.math-ph/9902015
Invited talk at the EWM Workshop on Moduli Spaces in Mathematics and Physics, 2-3 July 1998, Oxford, to appear in the Proceedings
arxiv created 1999/02/10 · arxiv updated 2009/11/30
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.