Quantization of the Laplacian operator on vector bundles, I

详细信息    查看全文

• 作者：Julien Keller ; Julien Meyer ; Reza Seyyedali
• 关键词：Mathematics Subject ClassificationPrimary 53D50 ; 47F05 ; Secondary 35P20 ; 53D20 ; 32W05 ; 14L24
• 刊名：Mathematische Annalen
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：366
• 期：3-4
• 页码：865-907
• 全文大小：652 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1807
• 卷排序：366

文摘

Let (E, h) be a holomorphic, Hermitian vector bundle over a polarized manifold. We provide a canonical quantization of the Laplacian operator acting on sections of the bundle of Hermitian endomorphisms of E. If E is simple we obtain an approximation of the eigenvalues and eigenspaces of the Laplacian.