DMCA
Almost complex structures and geometric quantization (1996)
| Venue: | Math. Research Letters |
| Citations: | 16 - 1 self |
BibTeX
@ARTICLE{Borthwick96almostcomplex,
author = {David Borthwick and Alejandro Uribe},
title = {Almost complex structures and geometric quantization},
journal = {Math. Research Letters},
year = {1996},
pages = {845--861}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract. 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.
