Nilpotent orbits of a generalization of Hodge structures

DOI10.1515/CRELLE.2007.060zbMath1136.32011arXivmath/0603564OpenAlexW2093002689MaRDI QIDQ5421685

Claus Hertling, Christian Sevenheck

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603564

zbMATH Keywords

nilpotent orbittwistorHodge structure

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Period matrices, variation of Hodge structure; degenerations (32G20) Twistor methods in differential geometry (53C28) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

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Cites Work

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• Monodromy at infinity and Fourier transform
• Variation of Hodge structure: The singularities of the period mapping
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• Geometry and integrability of topological-antitopological fusion
• Harmonic Bundles on Noncompact Curves
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• Painlevé functions of the third kind