From local to global deformation quantization of Poisson manifolds
From MaRDI portal
Publication:1395930
DOI10.1215/S0012-7094-02-11524-5zbMath1037.53063arXivmath/0012228OpenAlexW3101594209MaRDI QIDQ1395930
Giovanni Felder, Lorenzo Tomassini, Alberto Sergio Cattaneo
Publication date: 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0012228
Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55)
Related Items (47)
BRST quantization of quasisymplectic manifolds and beyond ⋮ On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings ⋮ Remarks on generalized Fedosov algebras ⋮ Correspondence rules for Wigner functions over $SU(3)/U(2)$ ⋮ Formality theorems for Hochschild complexes and their applications ⋮ 2D sigma models and differential Poisson algebras ⋮ A Duflo star product for Poisson groups ⋮ On globalized traces for the Poisson sigma model ⋮ Continuous and twisted \(L_{\infty}\) morphisms ⋮ Non-geometric fluxes, quasi-Hopf twist deformations, and nonassociative quantum mechanics ⋮ Relational symplectic groupoid quantization for constant Poisson structures ⋮ Globalizing \(L_\infty\)-automorphisms of the Schouten algebra of polyvector fields ⋮ Delooping the functor calculus tower ⋮ Compatibility with cap-products in Tsygan's formality and homological Duflo isomorphism ⋮ Formality theorem for differential graded manifolds ⋮ Tangent cohomology and cup-product for the Kontsevich quantization ⋮ Calabi-Yau deformations and negative cyclic homology ⋮ Introduction to the BV-BFV formalism ⋮ Formality theorem with coefficients in a module ⋮ Lifts of 𝐶_{∞}- and 𝐿_{∞}-morphisms to 𝐺_{∞}-morphisms ⋮ On the globalization of the Poisson sigma model in the BV-BFV formalism ⋮ Poisson action and formality ⋮ Associative deformations of complex analytic spaces ⋮ Reduction algebra and differential operators on Lie groups ⋮ Lifts of formalities ⋮ Globalization for perturbative quantization of nonlinear split AKSZ sigma models on manifolds with boundary ⋮ On the Fedosov deformation quantization beyond the regular Poisson manifolds ⋮ Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model ⋮ Symplectic categories ⋮ Covariant and equivariant formality theorems ⋮ Coadjoint orbits and characteristic varieties. ⋮ Hochschild cohomology and Atiyah classes ⋮ Examples of miniversal deformations of infinity algebras ⋮ On the integrability of deformation quantized Toda lattice ⋮ Recent Developments in Deformation Quantization ⋮ One-dimensional Chern-Simons theory and the \(\widehat{A}\) genus ⋮ Quantization of Poisson manifolds from the integrability of the modular function ⋮ LIE ALGEBROIDS AS SPACES ⋮ Quantization of the nonlinear sigma model revisited ⋮ Universal star products ⋮ Formality and Kontsevich-Duflo type theorems for Lie pairs ⋮ Group actions in deformation quantization ⋮ Polyvector fields and polydifferential operators associated with Lie pairs ⋮ Morita equivalence and characteristic classes of star products ⋮ Quantization of emergent gravity ⋮ Deformation quantization in algebraic geometry ⋮ A formality theorem for Hochschild chains.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Deformation theory and quantization. I: Deformations of symplectic structures
- A path integral approach to the Kontsevich quantization formula.
- Deformation quantization with traces
- Deformation quantization of Poisson manifolds
- Deformations of the algebra of functions of a symplectic manifold. Comparison between Fedosov and de Wilde, Lecomte
This page was built for publication: From local to global deformation quantization of Poisson manifolds
