Geometric quantization on symplectic fiber bundles

Details Geometric quantization on symplectic fiber bundles Geometric quantization on symplectic fiber bundles

1997-11-15

arxiv.org/abs/physics/9711013v1

Physics

Mathematical Physics

9 pages AMSTeX file

Scientific paper

Consider a fiber bundle in which the total space, the base space and the
fiber are all symplectic manifolds. We study the relations between the
quantization of these spaces. In particular, we discuss the geometric
quantization of a vector bundle, as oppose to a line bundle, over the base
space that recovers the standard geometric quantization of the total space.

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