Quantization of Presymplectic Manifolds and Circle Actions

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We prove several versions of "quantization commutes with reduction" for circle actions on manifolds that are not symplectic. Instead, these manifolds possess a weaker structure, such as a spin^c structure. Our theorems work whenever the quantization data and the reduction data are compatible; this condition always holds if we start from a presymplectic (in particular, symplectic) manifold.
LaTeX 2e, 28 pages

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152244

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9705008
 http://arxiv.org/abs/dg-ga/9705008

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arXiv