Variation of Hodge structure for generalized complex manifolds

DOI10.1016/j.difgeo.2014.08.001zbMath1297.32014arXiv1205.0240OpenAlexW2110823892WikidataQ115356170 ScholiaQ115356170MaRDI QIDQ744142

David Baraglia

Publication date: 6 October 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0240

zbMATH Keywords

Courant algebroidgeneralized complex structureHodge structureperiod map

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Generalized geometries (à la Hitchin) (53D18)

Related Items (1)

Some results of quantum correction on compact Calabi-Yau manifolds of dimension 3 and 4

Cites Work

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• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
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• A differential complex for Poisson manifolds
• Real homotopy theory of Kähler manifolds
• Manin triples for Lie bialgebroids
• Harmonic cohomology classes of symplectic manifolds
• Hodge structure on symplectic manifolds
• Topological sigma-models with \(H\)-flux and twisted generalized complex manifolds
• Dirac Manifolds
• Generalized Calabi-Yau Manifolds
• AV-Courant Algebroids and Generalized CR Structures
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

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