The Noncommutative Residue about Witten Deformation |
| |
| Authors: | Bao Kai Hua Sun Ai Hui Deng Chao |
| |
| Affiliation: | 1. School of Mathematics, Ineer Mongolia University for Nationnalities, Tongliao 028005, P. R. China;2. College of Mathematics, Jilin Normal University, Siping 136000, P. R. China;3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China |
| |
| Abstract: | In this paper, we compute lower dimensional volumes Vol4(1,1) and Vol6(2,2) about Witten deformation for 4, 6-dimensional spin manifolds with boundary respectively, and get assosiated Kastler– Kalau–Walze type theorems. We also give theoritic explaination of the gravitational action for 4, 6 dimensional manifolds with boundary by these noncommutative residues. |
| |
| Keywords: | Lower-dimensional volumes noncommutative residue gravitational action Witten deformation |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学学报(英文版)》下载全文 |
|
