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

Tatiana A. Ivanova
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Abstract

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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Tatiana A. Ivanova. 1999-02-10. Moduli Space of Self-Dual Gauge Fields, Holomorphic Bundles and Cohomology Sets. https://arxiv.org/abs/math-ph/9902015

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