Almost complex structures and geometric quantization

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study two quantization schemes for compact symplectic manifolds with almost complex structures. The first of these is the Spin-c quantization. We prove the analog of Kodaira vanishing for the Spin-c Dirac operator, which shows that the index space of this operator provides an honest (not virtual) vector space semiclassically. We also introduce a new quantization scheme, based on a rescaled Laplacian, for which we are able to prove strong semiclassical properties. The two quantizations are shown to be close semiclassically.
14 pages, AMS-LaTeX

Keywords

Differential Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/152158

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9608006
 http://arxiv.org/abs/dg-ga/9608006

Collections

arXiv