Real holomorphic sections of the Deligne-Hitchin twistor space

DOI10.1007/s00220-019-03340-8zbMath1411.53039arXiv1802.06587OpenAlexW3104095784WikidataQ128298304 ScholiaQ128298304MaRDI QIDQ1736253

Indranil Biswas, Markus Röser, Sebastian Heller

Publication date: 26 March 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06587

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28)

Related Items (7)

Non-abelian Hodge theory and related topics ⋮ Nilpotent Higgs bundles and families of flat connections ⋮ Generalized Deligne-Hitchin twistor spaces: construction and properties ⋮ Real projective structures on Riemann surfaces and new hyper-Kähler manifolds ⋮ Energy of sections of the Deligne-Hitchin twistor space ⋮ Generalized Whitham flow and its applications ⋮ The twistor geometry of parabolic structures in rank two

Cites Work

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• Langlands duality for Hitchin systems
• A spectral curve approach to Lawson symmetric CMC surfaces of genus 2
• Abelianization of Fuchsian systems on a 4-punctured sphere and applications
• Stable bundles and integrable systems
• The spectral curve theory for \((k,l)\)-symmetric CMC surfaces
• Automorphisms of \({\mathbb C}^*\) moduli spaces associated to a Riemann surface
• Torelli theorem for the Deligne-Hitchin moduli space
• Hyperkähler metrics and supersymmetry
• Flat G-bundles with canonical metrics
• Un analogue global du cône nilpotent. (A global analogue of the nilpotent cone)
• On the automorphisms of a rank one Deligne-Hitchin moduli space
• The twistor geometry of parabolic structures in rank two
• Harmonic maps from a 2-torus to the 3-sphere
• Harmonic maps and hypersymplectic geometry
• The twistor spaces of a para-quaternionic Kähler manifold
• On analytic fiber bundles. I: Holomorphic fiber bundles with infinite dimensional fibers
• Moduli of vector bundles on a compact Riemann surface
• Complete minimal surfaces in \(S^ 3\)
• Para-Hermitian and paraquaternionic manifolds
• \(tt^*\)-geometry and pluriharmonic maps
• A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds
• Higher genus minimal surfaces in S3 and stable bundles
• Classification of the automorphism and isometry groups of Higgs bundle moduli spaces
• Twistor structures, tt*-geometry and singularity theory
• A weight two phenomenon for the moduli of rank one local systems on open varieties
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• The Hodge filtration on nonabelian cohomology
• The Nahm–Schmid equations and hypersymplectic geometry

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