Spin Prequantization and Symplectic Cutting
نویسنده
چکیده
We define spinc prequantization of a symplectic manifold to be a spinc structure and a connection which are compatible with the symplectic form. We describe the cutting of an S-equivariant spinc prequantization. The cutting process involves a choice of a spinc prequantization for the complex plane. We prove that the cutting is possible if and only if the moment map level set along which the cutting is done is compatible with this choice.
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