dorsal/arxiv
View SchemaGeometric quantization on symplectic fiber bundles
| Authors | Yihren Wu |
|---|---|
| Categories | |
| ArXiv ID | physics/9711013 |
| URL | https://arxiv.org/abs/physics/9711013 |
Abstract
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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"abstract": "Consider a fiber bundle in which the total space, the base space and the\nfiber are all symplectic manifolds. We study the relations between the\nquantization of these spaces. In particular, we discuss the geometric\nquantization of a vector bundle, as oppose to a line bundle, over the base\nspace that recovers the standard geometric quantization of the total space.",
"arxiv_id": "physics/9711013",
"authors": [
"Yihren Wu"
],
"categories": [
"math-ph",
"math.MP"
],
"title": "Geometric quantization on symplectic fiber bundles",
"url": "https://arxiv.org/abs/physics/9711013"
},
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