A Ring-Theorist's Description of Fedosov Quantization

2000/04/11 by Daniel R. Farkas, Farkas, Daniel R.
Mathematics · #13N15 #53D55 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #Symplectic Geometry (math.SG) #math.AC #math.RA #math.SG #msc:13N15 #msc:53D55

paper · pdf · doi:10.48550/arxiv.math/0004071

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

arxiv created 2000/04/13 · arxiv updated 2009/11/30

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.

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