Formality theorem for differential graded manifolds

DOI10.1016/j.crma.2017.11.017zbMath1385.58002OpenAlexW2773525217MaRDI QIDQ1704642

Hsuan-Yi Liao, Mathieu Stiénon, Ping Xu

Publication date: 12 March 2018

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

Full work available at URL: https://doi.org/10.1016/j.crma.2017.11.017

zbMATH Keywords

Kontsevich-Shoikhet conjecturesmooth dg manifolds

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Supermanifolds and graded manifolds (58A50) Cohomology of Lie (super)algebras (17B56) Formal and graded complex spaces (32K07)

Related Items (11)

Atiyah classes and Todd classes of pullback dg Lie algebroids associated with Lie pairs ⋮ Atiyah and Todd classes of regular Lie algebroids ⋮ Fedosov dg manifolds associated with Lie pairs ⋮ Keller admissible triples and Duflo theorem ⋮ Atiyah and Todd classes arising from integrable distributions ⋮ Hopf algebras arising from dg manifolds ⋮ Poincaré-Birkhoff-Witt isomorphisms and Kapranov dg-manifolds ⋮ Hodge decomposition of string topology ⋮ Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds ⋮ Hochschild cohomology of dg manifolds associated to integrable distributions ⋮ Dg manifolds, formal exponential maps and homotopy Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lectures on Duflo isomorphisms in Lie algebra and complex geometry
• Duflo isomorphism and tangential cohomology.
• Covariant and equivariant formality theorems
• The homotopy braces formality morphism
• Formality theorems for Hochschild complexes and their applications
• Relative formality theorem and quantisation of coisotropic submanifolds
• Hochschild cohomology and Atiyah classes
• \(L_\infty \) structures on mapping cones
• \(Q\)-algebroids and their cohomology
• Deformation theory and quantization. I: Deformations of symplectic structures
• A simple geometrical construction of deformation quantization
• From local to global deformation quantization of Poisson manifolds
• Tangent cohomology and cup-product for the Kontsevich quantization
• Deformation quantization of Poisson manifolds
• The Atiyah class of a dg-vector bundle
• Erratum: Tangent cohomology and cup-product for the Kontsevich quantification
• Formal Exponential Map for Graded Manifolds
• Formality theorems for Hochschild chains in the Lie algebroid setting
• Caractères des groupes et des algèbres de Lie résolubles
• Quantum groupoids

This page was built for publication: Formality theorem for differential graded manifolds