Instantons and algebraic geometry

@article{Atiyah1977InstantonsAA,
  title={Instantons and algebraic geometry},
  author={M. Atiyah and R. S. Ward},
  journal={Communications in Mathematical Physics},
  year={1977},
  volume={55},
  pages={117-124}
}
Minimum action solutions for SU(2) Yang-Mills fields in Euclidean 4-space correspond, via the Penrose twistor transform, to algebraic bundles on the complex projective 3-space. These bundles in turn correspond to algebraic curves. The implication of these results for the Yang-Mills fields is described. In particular all solutions are rational and can be constructed from a series of AnsätzeAl forl≧1. 

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