Frobenius manifolds, projective special geometry and Hitchin systems

DOI10.1515/CRELLE.2010.091zbMath1217.53086arXiv0905.3304MaRDI QIDQ3065811

Luuk K. Hoevenaars, Claus Hertling, Hessel Posthuma

Publication date: 6 January 2011

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/0905.3304

zbMATH Keywords

Hodge filtrationFrobenius manifoldHitchin system\(F\)-manifoldvariations of Hodge structuresSeiberg-Witten differentialcameral curvesprojective special Kähler geometry

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Generalized geometries (à la Hitchin) (53D18)

Related Items (8)

Lectures on Higgs moduli and abelianisation ⋮ The c-map as a functor on certain variations of Hodge structure ⋮ Hermitian metrics on \(F\)-manifolds ⋮ Meromorphic Higgs bundles and related geometries ⋮ Exponential decay for the asymptotic geometry of the Hitchin metric ⋮ \((T)\)-structures over two-dimensional \(F\)-manifolds: formal classification ⋮ Asymptotic geometry of the Hitchin metric ⋮ Rank 2 bundles with meromorphic connections with poles of Poincaré rank 1

Cites Work

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• Stable bundles and integrable systems
• Geometric transitions and integrable systems
• Curvature of classifying spaces for Brieskorn lattices
• Special Kähler manifolds
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Mirror symmetry, Langlands duality, and the Hitchin system
• Special complex manifolds
• Stable principal bundles on a compact Riemann surface
• Non-commutative periods and mirror symmetry in higher dimensions
• On hyper Kähler manifolds associated to Lagrangian Kähler submanifolds of $T^\ast \mathbb \{C\}^n$
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
• An elementary approach to the abelianization of the Hitchin system for arbitrary reductive groups
• Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
• Dimensions of Prym varieties

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