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A **symplectic spinor bundle** arises in the context of symplectic geometry and the theory of spinors, particularly as they relate to symplectic manifolds. Here's a more detailed explanation: ### Background Concepts: 1. **Symplectic Manifold**: A symplectic manifold is a smooth, even-dimensional manifold equipped with a closed non-degenerate 2-form called the symplectic form.

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