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A **Fedosov manifold** is a concept from differential geometry, particularly in the field of symplectic geometry and deformation quantization. Named after the mathematician B. Fedosov, these manifolds provide a framework for quantizing classical systems by incorporating symplectic structures. In particular, a Fedosov manifold is a symplectic manifold that is equipped with a specific kind of connection known as a **Fedosov connection**.

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