The SPIN$^c$ Dirac operator on high tensor powers of a line bundle
Abstract
We study the asymptotic of the spectrum of the \spin Dirac operator on high tensor powers of a line bundle. As application, we get a simple proof of the main result of Guillemin-Uribe, which was originally proved by using the analysis of Toeplitz operators of Boutet de Monvel and Guillemin.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2001
- DOI:
- 10.48550/arXiv.math/0111138
- arXiv:
- arXiv:math/0111138
- Bibcode:
- 2001math.....11138M
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematics - Symplectic Geometry;
- Mathematics - Spectral Theory;
- 58J50;
- 53D50;
- 53C27;
- 35P15
- E-Print:
- Math. Zeitschrift, to appear