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

页码：181 / 211

页数：31

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