dorsal/arxiv
View SchemaQuantization of Equivariant Vector Bundles
| Authors | Eli Hawkins |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9708030 |
| URL | https://arxiv.org/abs/q-alg/9708030 |
| DOI | 10.1007/s002200050594 |
| Journal | Commun.Math.Phys. 202 (1999) 517-546 |
Abstract
The quantization of vector bundles is defined. Examples are constructed for the well controlled case of equivariant vector bundles over compact coadjoint orbits. (Coadjoint orbits are symplectic spaces with a transitive, semisimple symmetry group.) In preparation for the main result, the quantization of coadjoint orbits is discussed in detail. This subject should not be confused with the quantization of the total space of a vector bundle such as the cotangent bundle.
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"abstract": "The quantization of vector bundles is defined. Examples are constructed for\nthe well controlled case of equivariant vector bundles over compact coadjoint\norbits. (Coadjoint orbits are symplectic spaces with a transitive, semisimple\nsymmetry group.) In preparation for the main result, the quantization of\ncoadjoint orbits is discussed in detail.\n This subject should not be confused with the quantization of the total space\nof a vector bundle such as the cotangent bundle.",
"arxiv_id": "q-alg/9708030",
"authors": [
"Eli Hawkins"
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"doi": "10.1007/s002200050594",
"journal_ref": "Commun.Math.Phys. 202 (1999) 517-546",
"title": "Quantization of Equivariant Vector Bundles",
"url": "https://arxiv.org/abs/q-alg/9708030"
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