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Gauge fields and holomorphic geometry

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Abstract

The paper contains an exposition of the geometric theory of Yang-Mills equations in the language of Penrose twistors. A cohomological interpretation of the curvature of the connection and the current of the general holomorphic Yang-Mills field is given. Complex singularities of instanton fields are investigated.

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Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Vol. 17, pp. 3–55, 1981.

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Manin, Y.I. Gauge fields and holomorphic geometry. J Math Sci 21, 465–507 (1983). https://doi.org/10.1007/BF01084284

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Keywords

  • Gauge Field
  • Geometric Theory
  • Complex Singularity
  • Cohomological Interpretation
  • Penrose Twistor