The spectral density function for the Laplacian on high tensor powers of a line bundle

被引：2

作者：

Borthwick, D

Uribe, A

机构：

[1] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2002年 / 21卷 / 03期

基金：

美国国家科学基金会;

关键词：

almost Kahler; spectral density function; quasimode;

D O I：

10.1023/A:1014944725113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a symplectic manifold with quantizing line bundle, a choice of almost complex structure determines a Laplacian acting on tensor powers of the bundle. For high tensor powers Guillemin-Uribe showed that there is a well-defined cluster of low-lying eigenvalues, whose distribution is described by a spectral density function. We give an explicit computation of the spectral density function, by constructing certain quasimodes on the associated principle bundle.

引用

页码：269 / 286

页数：18

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