Fedosov dg manifolds associated with Lie pairs
From MaRDI portal
Publication:2200782
DOI10.1007/s00208-020-02012-6zbMath1458.58005arXiv1605.09656OpenAlexW3044478585MaRDI QIDQ2200782
Publication date: 22 September 2020
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.09656
Supermanifolds and graded manifolds (58A50) Graded Lie (super)algebras (17B70) Pseudogroups and differentiable groupoids (58H05)
Related Items
Shifted derived Poisson manifolds associated with Lie pairs ⋮ Atiyah classes and Todd classes of pullback dg Lie algebroids 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 ⋮ Polyvector fields and polydifferential operators associated with Lie pairs ⋮ Hochschild cohomology of dg manifolds associated to integrable distributions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Poisson homogeneous spaces and Lie algebroids associated to Poisson actions
- Strict deformation quantization of a particle in external gravitational and Yang-Mills fields
- Covariant and equivariant formality theorems
- Small models for chain algebras
- From Atiyah classes to homotopy Leibniz algebras
- \(Q\)-algebroids and their cohomology
- An explicit *-product on the cotangent bundle of a Lie group
- Locally vacant double Lie groupoids and the integration of matched pairs of Lie algebroids
- Pseudodifferential operators on differential groupoids
- A simple geometrical construction of deformation quantization
- Atiyah classes and dg-Lie algebroids for matched pairs
- Formality theorem for differential graded manifolds
- Formality and Kontsevich-Duflo type theorems for Lie pairs
- Formality theorem for \(\mathfrak{g}\)-manifolds
- On the groups \(H(\Pi,n)\). I
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Matched pairs of Lie algebroids
- On the universal enveloping algebra of a Lie algebroid
- Formal Exponential Map for Graded Manifolds
- Differential Forms on General Commutative Algebras
- Quantum groupoids