The structure of Fedosov supermanifolds
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Given a supermanifold (M, A) which carries a supersymplectic form ω, we study the Fedosov structures that can be defined on it, through a set of tensor fields associated to any symplectic connection ∇. We give explicit recursive expressions for the resulting curvature and study the particular case of a base manifold M with constant holomorphic sectional curvature. © 2009.
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Deformation quantization; Fedosov manifolds; Odd poisson brackets; Supermanifolds; Symplectic connections
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