Twisted Dirac operators and the noncommutative residue for manifolds with boundary

被引：8
|
作者：
Wang, Jian [1 ]
Wang, Yong [2 ]
机构：
[1] Tianjin Univ Technol & Educ, Sch Sci, Tianjin 300222, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2016年 / 7卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Twisted Dirac operators; Twisted signature operators; Noncommutative residue; Non-unitary connection; GRAVITY; THEOREM;
D O I：
10.1007/s11868-015-0139-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give two Lichnerowicz type formulas for Dirac operators and signature operators twisted by a vector bundle with a non-unitary connection. We also prove two Kastler-Kalau-Walze type theorems for twisted Dirac operators and twisted signature operators on four-dimensional manifolds with (resp. without) boundary.
引用
收藏
页码：181 / 211
页数：31
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