The spin $^{\bf c}$ Dirac operator on high tensor powers of a line bundle
The spin $^{\bf c}$ Dirac operator on high tensor powers of a line bundle
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DOI：
10.1007/s002090100393
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发表时间：
2001-11
影响因子：
0.8
通讯作者：
X. Ma;G. Marinescu
中科院分区：
文献类型：
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作者：
X. Ma;G. Marinescu
研究了线束高张量幂上狄拉克算子谱的渐近性。作为应用，我们对Guillemin - uribe[13，定理2]的主要结果进行了简单证明，该结果最初是通过对Boutet de Monvel和Guillemin[10]的Toeplitz算子的分析证明的。
We study the asymptotic of the spectrum of theDirac operator on high tensor powers of a line bundle. As application, we get a simple proof of the main result of Guillemin–Uribe [13, Theorem 2], which was originally proved by using the analysis of Toeplitz operators of Boutet de Monvel and Guillemin [10].