The SPIN$^c$ Dirac operator on high tensor powers of a line bundle
Differential Geometry
2015-09-10 v1 Symplectic Geometry
Spectral Theory
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.
Keywords
Cite
@article{arxiv.math/0111138,
title = {The SPIN$^c$ Dirac operator on high tensor powers of a line bundle},
author = {Xiaonan Ma and George Marinescu},
journal= {arXiv preprint arXiv:math/0111138},
year = {2015}
}
Comments
Math. Zeitschrift, to appear