A Ring-Theorist's Description of Fedosov Quantization

Abstract

We present a formal, algebraic treatment of Fedosov's argument that the coordinate algebra of a symplectic manifold has a deformation quantization. His remarkable formulas are established in the context of affine symplectic algebras.

26 pages, LaTex. Paper will appear in abridged form in Lett. Math. Phys

References in corpus (1)

• On the quantization of Poisson brackets

Cited by in corpus (2)

• Three Natural Generalizations of Fedosov Quantization
• Remarks on generalized Fedosov algebras