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

Xiaonan Ma·George Marinescu
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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.

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Xiaonan Ma, George Marinescu. 2001-11-12. The SPIN$^c$ Dirac operator on high tensor powers of a line bundle. https://doi.org/10.1007/s002090100393

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