Irreducible flat SL(2,R)-connections on the trivial holomorphic bundle
arXiv:2003.06997
Abstract
We construct an irreducible holomorphic connection with SL(2,R)-monodromy on the trivial holomorphic vector bundle of rank two over a compact Riemann surface. This answers a question of Calsamiglia, Deroin, Heu and Loray in \cite{CDHL}.
Final version; to appear in Journal de Math. Pures et Appl