%0 Journal Article %T The Geometry of Deformation Quantization and Self-Dual Gravity %A Hugo Garcia-Compean %A Jerzy F. Plebanski %A Maciej Przanowski %J Physics %D 1997 %I arXiv %X A geometric formulation of the Moyal deformation for the Self-dual Yang-Mills theory and the Chiral Model approach to Self-dual gravity is given. We find in Fedosov's geometrical construction of deformation quantization the natural geometrical framework associated to the Moyal deformation of Self-dual gravity. %U http://arxiv.org/abs/hep-th/9710154v1