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

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

2001-11-12

arxiv.org/abs/math/0111138v1

Mathematics

Differential Geometry

Math. Zeitschrift, to appear

Scientific paper

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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