• A normal variety of invariant connexions on Hermitian symmetric spaces

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/131/0038

• # 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

• # Proceedings – Mathematical Sciences

Volume 132, 2022
All articles
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

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