Almost complex structures and geometric quantization
| dc.creator | Borthwick, David | |
| dc.creator | Uribe, Alejandro | |
| dc.date | 1996-08-17 | |
| dc.date.accessioned | 2026-07-07T09:12:50Z | |
| dc.date.available | 2026-07-07T09:12:50Z | |
| dc.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. | |
| dc.description | 14 pages, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9608006 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9608006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152158 | |
| dc.subject | Differential Geometry | |
| dc.title | Almost complex structures and geometric quantization | |
| dc.type | text |