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[95] Stable Bundles Revisited

  • Loring W. Tu
  • Raoul Bott
Chapter
Part of the Contemporary Mathematicians book series (CM)

Abstract

The topological classification of complex vector bundles over a Riemann surface is of course very simple: they are classified by one integer c1(E), corresponding to the first Chern class of E. On the other hand, a classification in the complex-analytic—or algebro-geometric—category leads to “continuous moduli” and subtle phenomena which have links with number theory, gauge theory, and conformal field theory. I will try to report briefly on some of these developments here.

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© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Loring W. Tu
    • 1
  • Raoul Bott
  1. 1.Department of MathematicsTufts UniversityMedfordUSA

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