Moduli Space of Self-Dual Gauge Fields, Holomorphic Bundles and Cohomology Sets
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
solv-int
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.
Keywords
Cite
@article{arxiv.math-ph/9902015,
title = {Moduli Space of Self-Dual Gauge Fields, Holomorphic Bundles and Cohomology Sets},
author = {Tatiana A. Ivanova},
journal= {arXiv preprint arXiv:math-ph/9902015},
year = {2007}
}
Comments
Invited talk at the EWM Workshop on Moduli Spaces in Mathematics and Physics, 2-3 July 1998, Oxford, to appear in the Proceedings