English

The generalized noncommutative residue and the Kastler-Kalau-Walze type theorem

Differential Geometry 2022-04-26 v1

Abstract

In this paper, we define the generalized noncommutative residue of the Dirac operator. And we give the proof of Kastler-Kalau-Walze type theorems for the generalized noncommutative residue on 4-dimensional and 6-dimensional compact manifolds with (resp.without) boundary.

Keywords

Cite

@article{arxiv.2204.11021,
  title  = {The generalized noncommutative residue and the Kastler-Kalau-Walze type theorem},
  author = {Tong Wu and Yong Wang},
  journal= {arXiv preprint arXiv:2204.11021},
  year   = {2022}
}