Articles written in Proceedings – Mathematical Sciences

    • A normal variety of invariant connexions on Hermitian symmetric spaces


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      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.

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