\(L_\infty\) liftings of semiregularity maps via Chern-Simons classes

DOI10.1016/j.aim.2023.109358arXiv2111.12985OpenAlexW4387794943MaRDI QIDQ6187714

Ruggero Bandiera, Emma Lepri, Marco Manetti

Publication date: 1 February 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12985

zbMATH Keywords

Chern-Simons formsAtiyah classsemiregularity\(\mathrm{L}\)-infinity mapscurved DG-algebras

Mathematics Subject Classification ID

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

Cites Work

• Nonhomogeneous quadratic duality and curvature
• Algebraic models of local period maps and Yukawa algebras
• Characteristic forms and geometric invariants
• Semiregularity and obstructions of complete intersections
• Connections and \(L_\infty\) liftings of semiregularity maps
• Semi-regularity and de Rham cohomology
• Sul teorema fondamentale dei sistemi continui di curve sopra una superficie algebrica
• Complex Analytic Connections in Fibre Bundles
• A Theorem of Completeness of Characteristic Systems of Complete Continuous Systems
• ON DEFORMATION OF SHEAVES
• Deformation Theory
• Strongly homotopy lie algebras
• Lie Methods in Deformation Theory
• On Deformations of Pairs (Manifold, Coherent Sheaf)
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