A period map for generalized deformations

DOI10.4171/JNCG/47zbMath1189.14018arXiv0808.0140OpenAlexW2963235537MaRDI QIDQ734817

Domenico Fiorenza, Marco Manetti

Publication date: 14 October 2009

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0140

zbMATH Keywords

Kähler manifoldsdifferential graded Lie algebrasperiod mapDGLA\(L_\infty\)-algebrasCartan homotopiesfunctors of Artin ringssymmetric coalgebras

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Graded Lie (super)algebras (17B70) Variation of Hodge structures (algebro-geometric aspects) (14D07) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (4)

Algebraic models of local period maps and Yukawa algebras ⋮ The global derived period map ⋮ Nonabelian higher derived brackets ⋮ Deformations of Dolbeault cohomology classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The homotopy invariance of the Kuranishi space
• \(L_\infty \) structures on mapping cones
• Obstruction calculus for functors of Artin rings. I
• Introduction to sh Lie algebras for physicists
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Deformation quantization of Poisson manifolds
• Cohomological constraint on deformations of compact Kähler manifolds
• Geometry of formal Kuranishi theory
• Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
• Strongly homotopy lie algebras
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

This page was built for publication: A period map for generalized deformations