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Einstein-Hermitian Bundles over Complex Surfaces

  • Francis J. Flaherty
Part of the NATO ASI Series book series (NSSB, volume 245)

Abstract

The notion of an Einstein-Hermitian bundle over a complex manifold has proved to be extremely useful both in algebraic geometry and in superstring theory. In algebraic geometry it has provided a means by which the set of all holomorphic vector bundles on a complex manifold can be studied. In superstring theory it has yielded a way to generalize the Yang-Mills fields to high dimensional complex manifolds.

Keywords

Vector Bundle Complex Manifold Abelian Variety Twistor Space Holomorphic Vector Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. S. Donaldson, 1985, Anti Self-dual Yang-Mills…., Proc. London Math. Soc., 50:1–26.MathSciNetMATHCrossRefGoogle Scholar
  2. S. Kobayashi, 1987, “Differential Geometry of Complex Vector Bundles,” Plenum Press, NY.MATHGoogle Scholar
  3. A. Blanchard, 1956, Sur les varietes analytiques complexes, Ann. Sci. E.N.S.. 173:1517–202.Google Scholar
  4. K. Uhlenbeck and S.-T. Yau, 1986, On the Existence of Hermitian-Yang-Mills Connections in Stable Vector Bundles, Comm. Pure and Applied Math.. 39:257–293.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Francis J. Flaherty
    • 1
  1. 1.Department of MathematicsOregon State UniversityCorvallisUSA

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