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math.DG2023
Conformal perturbations of dirac operators and general Kastler-Kalau-Walze type theorems for even dimensional manifolds with boundary
Sining Wei, Hongfeng Li, Yong Wang
In this paper, we establish the proof of general Kastler-Kalau-Walze type theorems for conformal perturbations of dirac Operators on even dimensional compact manifolds with (respec…
math.DG2023★ 1 cited
The general Kastler-Kalau-Walze type theorem and the Dabrowski-Sitarz-Zalecki type theorem for odd dimensional manifold with boundary
Tong Wu, Yong Wang, Sining Wei
In this paper, we give the proof of the general Kastler-Kalau-Walze type theorem and the Dabrowski-Sitarz-Zalecki type theorem on odd dimensional compact manifolds with boundary.
math.DG2023
The Hodge-Dirac operator and Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary
Tong Wu, Yong Wang
In [10], Dabrowski etc. gave spectral Einstein bilinear functionals of differential forms for the Hodge-Dirac operator on an oriented even-dimensional Riemannian manifold. In…