Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, Volume 106, Issue 3, pp 301-328

First online:

Moduli for principal bundles over algebraic curves: I

  • A RamanathanAffiliated withSchool of Mathematics, Tata Institute of Fundamental Research

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We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal bundles with a reductive structure group is constructed using Mumford's geometric invarian theory.


Principal bundles compact Riemann surface geometric invariant theory reductive algebraic groups