Dolbeault dga and \(L_{\infty}\)-algebroid of the formal neighborhood

DOI10.1016/j.aim.2016.10.006zbMath1360.14015arXiv1507.07528OpenAlexW2531873524MaRDI QIDQ340440

Shilin Yu

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1507.07528

zbMATH Keywords

dgacurvatureanchor mapdifferential graded algebrajet bundle\(L_\infty\) algebraAtiyah class\(L_\infty\) algebroidChevalley-Eilenberg dgadifferential geometric invariantsDoulbeault complexDoulbeault dgaDoulbeault differentialformal geometryformal neighborhoodshifted normal bundleTodd class

Mathematics Subject Classification ID

Jets in global analysis (58A20) Differential graded algebras and applications (associative algebraic aspects) (16E45) Formal neighborhoods in algebraic geometry (14B20)

Related Items (3)

Derived intersections and free dg-Lie algebroids ⋮ The Dolbeault dga of a formal neighborhood ⋮ Todd class via homotopy perturbation theory

Cites Work

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• On the strong homotopy Lie–Rinehart algebra of a foliation
• Rozansky-Witten invariants via Atiyah classes
• Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs
• A homotopy Lie-Rinehart resolution and classical BRST cohomology

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