3 citations · 4 across the 8 of their papers we have counts for
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The Bimetric generalization of Kastler--Kalau--Walze Type Theorems
Sining Wei, Yong Wang
Let be a closed oriented manifold of even dimension , equipped with a smooth metric and a Riemannian metric . We compute the Wodzicki residue of $D_{g_1}…
The spectral Einstein functional for the Witten Deformation
Tong Wu, Yong Wang
In the paper, given two vector fields and the Witten deformation, we compute the spectral Einstein functional for the Witten deformation on even-dimensional spin manifolds without…
The linear perturbation of the metric and the bimetric conformal invarints
Tong Wu, Yong Wang
In this paper, we give a method to construct bimetric conformal invarints by the linear metric perturbations and the conformal invarints. And we compute the metric perturbations of…
The Connes-Chamseddine cycle and the noncommutative integral
Tong Wu, Yong Wang
In [5], Connes and Chamseddine defined a cycle in the general framework of noncommutative geometry. They computed this cycle for the Dirac operator on 4-dimensioanl manifolds. We p…
The pseudo-differential perturbations of the Dirac operator and the Kastler-Kalau-Walze type theorems
Tong Wu, Yong Wang
We define two types of pseudo-differential perturbations of the Dirac operator within the framework of the noncommutative geometry. And we obtain the noncommutative residue of the…
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…