A note on étale atlases for Artin stacks and Lie groupoids, Poisson structures and quantisation
DOI10.1016/j.geomphys.2024.105266zbMATH Open1548.531MaRDI QIDQ6596135
Publication date: 2 September 2024
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25) Stacks and moduli problems (14D23) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Shifted symplectic structures
- Presenting higher stacks as simplicial schemes
- Unifying derived deformation theories
- Versal deformations and algebraic stacks
- Deformation quantisation for unshifted symplectic structures on derived Artin stacks
- Derived coisotropic structures. I: Affine case
- Derived coisotropic structures. II: Stacks and quantization
- Quantisation of derived Lagrangians
- A differential graded model for derived analytic geometry
- Lagrangian structures on mapping stacks and semi-classical TFTs
- Higher Poisson Brackets and Differential Forms
- C ∞ -Schemes
- Deformation quantisation for $(-1)$-shifted symplectic structures and vanishing cycles
- Shifted Poisson and symplectic structures on derived N-stacks
- Shifted Poisson structures and deformation quantization
- Homotopical algebraic geometry. II. Geometric stacks and applications
- Simplicial homotopy theory
This page was built for publication: A note on étale atlases for Artin stacks and Lie groupoids, Poisson structures and quantisation