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A Simple Introduction to Complex Manifolds

  • Luis Alvarez-Gaume
  • Daniel Z. Freedman
Part of the Ettore Majorana International Science Series book series (EMISS, volume 7)

Abstract

The material discussed at the conference consisted of two applications of Kahler differential geometry nonlinear σ-models [1,2]. Since this material will be published in the standard literature, there is little point in interesting it again here. However, in the course of our work we found that Kahler geometry is a beautiful subject not well-known to most theoretical physicists and the essential part not as accessible as one might hope from the many mathematical textbooks. Kahler geometry not only has applications in supersymmetric σ-models, as was shown first by Zumino [3] and then in our work, but also in quantum gravity where every self-dual gravitational instantation is a Kahler manifold [4].

Keywords

Complex Manifold Parallel Transport Holonomy Group Mathematics Text Real Manifold 
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

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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Luis Alvarez-Gaume
    • 1
  • Daniel Z. Freedman
    • 1
  1. 1.Institute for Theoretical PhysicsState University of New YorkStony Brook, L.I.USA

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