The SPIN$^c$ Dirac operator on high tensor powers of a line bundle

George Marinescu; Xiaonan Ma

arxiv: math/0111138 · v1 · pith:NDRESPYWnew · submitted 2001-11-12 · 🧮 math.DG · math.SG· math.SP

The SPIN^c Dirac operator on high tensor powers of a line bundle

Xiaonan Ma , George Marinescu This is my paper

classification 🧮 math.DG math.SGmath.SP

keywords bundledirachighlineoperatorpowersspintensor

0 comments

read the original 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.

This paper has not been read by Pith yet.

The SPIN^c Dirac operator on high tensor powers of a line bundle

discussion (0)