Real holomorphic sections of the Deligne-Hitchin twistor space
arXiv:1802.06587 · doi:10.1007/s00220-019-03340-8
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.
arXiv commentFinal version; to appear in Communications in Mathematical Physics
References in corpus (5)
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Cited by in corpus (5)
- Energy of sections of the Deligne-Hitchin twistor space
- Real projective structures on Riemann surfaces and new hyper-Kähler manifolds
- Higher solutions of Hitchin's self-duality equations
- Nilpotent Higgs bundles and families of flat connections
- Generalized Deligne-Hitchin Twistor Spaces: Construction and Properties