Formality theorem for \(\mathfrak{g}\)-manifolds

DOI10.1016/j.crma.2017.03.008zbMath1383.53060arXiv1701.04872OpenAlexW2580444011MaRDI QIDQ2627855

Mathieu Stiénon, Hsuan-Yi Liao, Ping Xu

Publication date: 1 June 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04872

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Pseudogroups and differentiable groupoids (58H05)

Related Items (8)

Shifted derived Poisson manifolds associated with Lie pairs ⋮ Atiyah classes and Todd classes of pullback dg Lie algebroids associated with Lie pairs ⋮ Fedosov dg manifolds associated with Lie pairs ⋮ Hopf algebras arising from dg manifolds ⋮ Poincaré-Birkhoff-Witt isomorphisms and Kapranov dg-manifolds ⋮ Formality and Kontsevich-Duflo type theorems for Lie pairs ⋮ Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds ⋮ Polyvector fields and polydifferential operators associated with Lie pairs

Cites Work

• Covariant and equivariant formality theorems
• From Atiyah classes to homotopy Leibniz algebras
• Hochschild cohomology and Atiyah classes
• Deformation quantization of Poisson manifolds
• The Atiyah class of a dg-vector bundle
• The cohomology structure of an associative ring
• Complex Analytic Connections in Fibre Bundles
• Differential Forms On Regular Affine Algebras
• Drinfel’d doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids
• Matched pairs of Lie algebroids

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