Cyclic forms on DG-Lie algebroids and semiregularity

DOI10.4171/rsmup/129arXiv2104.12658MaRDI QIDQ6123772

Emma Lepri

Publication date: 8 April 2024

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12658

zbMATH Keywords

connectionsAtiyah classsemiregularityL-infinity mapsDG-Lie algebroids

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Formal methods and deformations in algebraic geometry (14D15)

Cites Work

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• Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves
• Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory)
• Curvature and characteristic classes
• Atiyah classes and dg-Lie algebroids for matched pairs
• Moduli of representations of the fundamental group of a smooth projective variety. II
• Deformation quantization of Poisson manifolds
• Complex geometry. An introduction
• Semiregularity and obstructions of complete intersections
• The Atiyah class of a dg-vector bundle
• Connections and \(L_\infty\) liftings of semiregularity maps
• Lie theory for nilpotent \(L_{\infty}\)-algebras
• Semi-regularity and de Rham cohomology
• Cosimplicial DGLAs in Deformation Theory
• Atiyah Classes of Lie Algebroids
• Complex Analytic Connections in Fibre Bundles
• An Infinitesimal Study of the Moduli of Hitchin Pairs
• Descent of Deligne groupoids
• On Moduli of G-bundles over Curves for exceptional G
• Lie Methods in Deformation Theory
• On Deformations of Pairs (Manifold, Coherent Sheaf)
• Some remarks on Dupont contraction

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