Fedosov connections on jet bundles and deformation quantization
arXiv:math/0111290 · doi:10.5167/uzh-21937
Abstract
We review our construction of star-products on Poisson manifolds and discuss some examples. In particular, we work out the relation with Fedosov's original construction in the symplectic case.
Contribution to the proceedings of the conference "Deformation Quantization", Strasbourg, May 31-June 2, 2001
References in corpus (1)
Cited by in corpus (10)
- On the Globalization of Kontsevich's Star Product and the Perturbative Poisson Sigma Model
- A Counterexample to the Quantizability of Modules
- Formality and Star Products
- On Globalized Traces for the Poisson Sigma Model
- Three Natural Generalizations of Fedosov Quantization
- Convergence of Star Product: From Examples to a General Framework
- Morita Equivalence, Picard Groupoids and Noncommutative Field Theories
- Morita equivalence of Fedosov star products and deformed Hermitian vector bundles
- On the deformation quantization of affine algebraic varieties
- Classification of Group Actions Extended to Symplectic Deformation Quantizations