The Rescaled Dirac operator fDh and the noncommutative residue for 6-dimensional manifolds
Differential Geometry
2024-07-23 v1
Abstract
In this paper, we compute the noncommutative residue for the rescaled Dirac operator fDh on 6-dimensional compact manifolds without boundary. And we give the proof of the Kastler-Kalau-Walze type theorem for the rescaled Dirac operator fDh on 6-dimensional compact manifolds with boundary. We also give some important special cases which can be solved by our calculation methods.
Keywords
Cite
@article{arxiv.2407.14818,
title = {The Rescaled Dirac operator fDh and the noncommutative residue for 6-dimensional manifolds},
author = {Tong Wu and Yong Wang},
journal= {arXiv preprint arXiv:2407.14818},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2401.10909, arXiv:2111.15034, arXiv:2310.09775, arXiv:2406.14300, arXiv:2309.07558, arXiv:2312.00154