偶数维带边流形上的一类Kastler-Kalau-Walze类型定理

包开花; 孙爱慧; 夏令远

doi:10.3969/j.issn.1000-5641.2021.03.004

偶数维带边流形上的一类Kastler-Kalau-Walze类型定理

doi: 10.3969/j.issn.1000-5641.2021.03.004

1.
内蒙古民族大学数理学院, 内蒙古通辽　028000
2.
吉林师范大学数学学院, 吉林四平　136000
3.
东北师范大学数学与统计学院, 长春　130024

基金项目: 国家自然科学基金(11901322); 内蒙古自治区自然科学基金(2018LHO1004)

详细信息

通讯作者:
包开花, 女, 博士, 副教授, 研究方向为微分几何. E-mail: baokh505@nenu.edu.cn

中图分类号: O186
计量
- 文章访问数: 115
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- PDF下载量: 7
- 被引次数: 0
出版历程
- 收稿日期: 2020-02-04
- 刊出日期: 2021-05-01

Kastler-Kalau-Walze type theorems for an even dimensional manifold with boundary

1.
College of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao Inner Mongolia　028000, China
2.
College of Mathematics, Jilin Normal University, Siping Jilin　136000, China
3.
School of Mathematics and Statistics, Northeast Normal University, Changchun　130024, China

摘要

摘要: 在任意偶数维带边Spin流形上建立了一类关于带挠率的Dirac算子的Kastler-Kalau-Walze类型定理, 为相应流形上的Einstein-Hilbert作用给出了简单的算子理论解释.
- 带挠率的Dirac算子 /
- 非交换留数 /
- 低维体积 /
- 偶数维带边流形
Abstract: In this paper, we establish a Kastler-Kalau-Walze type theorem for an even dimensional manifold with boundary about Dirac operators with torsion; in addition, we provide a simple theoretical explanation to the Einstein-Hilbert action for any even dimensional manifold with boundary.
- Dirac operators with torsion /
- noncommutative residue /
- lower-dimensional volumes /
- even dimensional manifold with boundary

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参考文献(20)

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