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Real holomorphic sections of the Deligne-Hitchin twistor space

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arxiv 1802.06587 v2 pith:HWLPCNYR submitted 2018-02-19 math.DG math.AG

Indranil Biswas , Sebastian Heller , Markus Roeser This is my paper · ORCID
classification math.DGmath.AG
keywords sectionsspacedeligne-hitchinholomorphicmoduliansweredanti-holomorphicbi-product
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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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  1. Non-Abelian Hodge Theory and Related Topics

    math.AG 2019-08 conditional novelty 4.0 of 10

    A survey of non-Abelian Hodge theory and related moduli spaces, with a new explicit description of Simpson filtrations for rank 3 flat bundles.

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