English

The operator $\sqrt{-1}\widehat{c}(V)(d+\delta)$ and the Kastler-Kalau-Walze type theorems

Differential Geometry 2021-12-01 v1

Abstract

In this paper, we obtain two Lichnerowicz type formulas for the operators 1c^(V)(d+δ)\sqrt{-1}\widehat{c}(V)(d+\delta) and 1(d+δ)c^(V)-\sqrt{-1}(d+\delta)\widehat{c}(V). And we give the proof of Kastler-Kalau-Walze type theorems for the operators 1c^(V)(d+δ)\sqrt{-1}\widehat{c}(V)(d+\delta) and 1(d+δ)c^(V)-\sqrt{-1}(d+\delta)\widehat{c}(V) on 3,4-dimensional oriented compact manifolds with (resp.without) boundary.

Keywords

Cite

@article{arxiv.2111.15034,
  title  = {The operator $\sqrt{-1}\widehat{c}(V)(d+\delta)$ and the Kastler-Kalau-Walze type theorems},
  author = {Tong Wu and Yong Wang},
  journal= {arXiv preprint arXiv:2111.15034},
  year   = {2021}
}