Real projective structures on Riemann surfaces and new hyper-Kähler manifolds

DOI10.1007/s00229-022-01377-zOpenAlexW2956073871WikidataQ114230744 ScholiaQ114230744MaRDI QIDQ2700859

Sebastian Heller

Publication date: 27 April 2023

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10350

zbMATH Keywords

Riemann surfaceshyper-Kähler manifoldsDeligne-Hitchin moduli spacetwistor constructionreal projective structures

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28) Vector bundles on curves and their moduli (14H60)

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Real slices of \(\mathrm{SL}(r,\mathbb{C})\)-opers ⋮ Hecke operators and analytic Langlands correspondence for curves over local fields

Cites Work

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• Manifolds with canonical coordinate charts: Some examples
• Projective structures with Fuchsian holonomy
• Hyperkähler metrics and supersymmetry
• Monodromy groups and linearly polymorphic functions
• Grafting, harmonic maps and projective structures on surfaces
• Real holomorphic sections of the Deligne-Hitchin twistor space
• Energy of sections of the Deligne-Hitchin twistor space
• Real projective connections, V. I. Smirnov's approach, and black-hole-type solutions of the Liouville equation
• Iterated destabilizing modifications for vector bundles with connection
• 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
• The Hodge filtration on nonabelian cohomology
• Higher solutions of Hitchin’s self-duality equations
• Quantization of the Quantum Hitchin System and the Real Geometric Langlands Correspondence