Twisted Dirac Operators and General Kastler-Kalau-Walze Type Theorems for Manifolds with Boundary

被引：0

作者：

Yang, Yuchen ^{[1
]}

Wu, Tong ^{[2
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Northeastern Univ, Dept Math, Shenyang 110004, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2024年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Twisted Dirac operators; Noncommutative residue; Kastler-Kalau-Walze type theorems; NONCOMMUTATIVE RESIDUE; GRAVITY;

D O I：

10.1007/s44198-024-00185-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some general Kastler-Kalau-Walze type theorems on any dimensional manifolds with boundary for twisted Dirac operators.

引用

页数：20

共 50 条

[1] Twisted dirac operators and Kastler-Kalau-Walze theorems for six-dimensional manifolds with boundary
Wei, Sining
Wang, Yong
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (14)
[2] General Kastler-Kalau-Walze type theorems for manifolds with boundary II
Wang, Yong
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (02)
[3] Twisted Dirac operators and the Kastler-Kalau-Walze type theorem for five dimensional manifolds with boundary
Wu, Tong
Wei, Sining
Wang, Yong
TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (02) : 439 - 475
[4] Dirac-Witten Operators and the Kastler-Kalau-Walze Type Theorem for Manifolds with Boundary
Wu, Tong
Wang, Jian
Wang, Yong
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2022, 29 (01) : 1 - 40
[5] Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary
Li, Hongfeng
Wu, Tong
Wang, Yong
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (04)
[6] A general Kastler-Kalau-Walze type theorem for manifolds with boundary
Wang, Jian
Wang, Yong
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (01)
[7] Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary
Hongfeng Li
Tong Wu
Yong Wang
Journal of Pseudo-Differential Operators and Applications, 2023, 14
[8] A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary
Wang, Yong
ABSTRACT AND APPLIED ANALYSIS, 2014,
[9] The General Kastler-Kalau-Walze Type Theorems About Witten Deformation
Kaihua Bao
Xiaodong Shan
Yanhong Sun
Journal of Nonlinear Mathematical Physics, 2022, 29 : 149 - 170
[10] Dirac–Witten Operators and the Kastler–Kalau–Walze Type Theorem for Manifolds with Boundary
Tong Wu
Jian Wang
Yong Wang
Journal of Nonlinear Mathematical Physics, 2022, 29 : 1 - 40

← 1 2 3 4 5 →