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arXiv · 2011.15072

A normal variety of invariant connections on hermitian symmetric spaces

Indranil Biswas·Harald Upmeier
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Abstract

We introduce a class of $G$-invariant connections 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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Indranil Biswas, Harald Upmeier. 2020-11-30. A normal variety of invariant connections on hermitian symmetric spaces. https://arxiv.org/abs/2011.15072

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