Formal geometric quantization (Q1010973)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formal geometric quantization |
scientific article |
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Formal geometric quantization (English)
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7 April 2009
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The aim of this remarkable article is to study the functorial properties of the \textit{formal geometric quantization} process which is defined on non-compact Hamiltonian manifolds endowed with a proper momentum map. For this purpose, a technique of symplectic cutting is introduced and a central theme is an extension of the ``quantization commutes with reduction'' theorem to the singular setting; here the singular manifolds are those obtained by symplectic reduction.
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geometric quantization
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moment map
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symplectic reduction
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index
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transversally elliptic
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