Real holomorphic sections of the Deligne-Hitchin twistor space
Differential Geometry
2020-03-17 v2 Algebraic Geometry
Abstract
We study the holomorphic sections of the Deligne-Hitchin moduli space of a compact Riemann surface that are invariant under the natural anti-holomorphic involutions of the moduli space. Their relationships with the harmonic maps are established. As a bi-product, a question of Simpson on such sections, posed in \cite{Si2}, is answered.
Keywords
Cite
@article{arxiv.1802.06587,
title = {Real holomorphic sections of the Deligne-Hitchin twistor space},
author = {Indranil Biswas and Sebastian Heller and Markus Roeser},
journal= {arXiv preprint arXiv:1802.06587},
year = {2020}
}
Comments
Final version; to appear in Communications in Mathematical Physics