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arXiv · 1802.06587

Real holomorphic sections of the Deligne-Hitchin twistor space

Indranil Biswas·Sebastian Heller·Markus Roeser
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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.

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Indranil Biswas, Sebastian Heller, Markus Roeser. 2018-02-19. Real holomorphic sections of the Deligne-Hitchin twistor space. https://doi.org/10.1007/s00220-019-03340-8

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