Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds

DOI10.4064/bc123-3zbMath1467.58003OpenAlexW3161028872MaRDI QIDQ4989159

Ping Xu, Mathieu Stiénon

Publication date: 20 May 2021

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/bc123-3

zbMATH Keywords

Lie algebroidAtiyah classKontsevich formality theoremdg manifoldsDuflo theorem.

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50) Deformation quantization, star products (53D55) Differential graded algebras and applications (associative algebraic aspects) (16E45) Quantizations, deformations for selfadjoint operator algebras (46L65) Homotopical algebra, Quillen model categories, derivators (18N40)

Related Items (6)

Atiyah and Todd classes of regular Lie algebroids ⋮ Poincaré-Birkhoff-Witt isomorphisms and Kapranov dg-manifolds ⋮ Preface to special issue in memory of Kirill C. H. Mackenzie (1951--2020). I ⋮ Polyvector fields and polydifferential operators associated with Lie pairs ⋮ Hochschild cohomology of dg manifolds associated to integrable distributions ⋮ Dg manifolds, formal exponential maps and homotopy Lie algebras

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