• A normal variety of invariant connexions on Hermitian symmetric spaces

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    • Keywords


      Irreducible Hermitian symetric space; principal bundle; pure connexions; normal variety.

    • Abstract


      We introduce a class of $G$-invariant connexions on a homogeneous principal bundle $Q$ over a Hermitian symmetric space $M = G/K$. The parameter space carries the structure of normal variety and has a canonical anti-holomorphic involution. The fixed points of the anti-holomorphic involution are precisely the integrable invariant complex structures on $Q$. This normal variety is closely related to quiver varieties and, more generally, to varieties of commuting matrix tuples modulo simultaneous conjugation.

    • Author Affiliations



      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400 005, India
      2. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Lahnberge, Hans-Meerwein-Strasse, 35032 Marburg, Germany
    • Dates

  • Proceedings – Mathematical Sciences | News

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