14 citations · 15 across the 5 of their papers we have counts for
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The spectral torsion for the one form rescaled Dirac operator
Jian Wang, Yong Wang
The spectral torsion is defined by three vector fields and Dirac operators and the noncommutative residue. Motivated by the spectral torsion and the one form rescaled Dirac operato…
Inner fluctuations and the spectral Einstein functional
Jian Wang, Yong Wang
The spectral metric and Einstein functionals defined by two vector fields and Laplace-type operators over vector bundles, giving an interesting example of the spinor connection and…
On K-K-W Type Theorems for Conformal Perturbations of Twisted Dirac Operators
Jian Wang, Yong Wang
In this paper, we prove two Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of twisted signature operators on f…
Twisted Dirac Operators and the noncommutative residue for manifolds with boundary II
Sining Wei, Yong Wang
In this paper, we establish two kinds of Kastler-Kalau-Walze type theorems for Dirac operators and signature operators twisted by a vector bundle with a non-unitary connection on s…
Perturbations of Dirac Operators and A KKW Type Theorem for Five Dimensional Manifolds with Boundary
Jian Wang, Yong Wang
In this paper, we define lower dimensional volumes of compact Riemannian manifolds with boundary. For five dimensional spin manifolds with boundary, we prove a Kastler-Kalau-Walze…
Noncommutative Residue and Dirac operators for Manifolds with the Conformal Robertson-Walker metric
Jian Wang, Yong Wang
In this paper, we prove a Kastler-Kalau-Walze type theorem for 4-dimensional and 6-dimensional spin manifolds with boundary associated with the conformal Robertson-Walker metric. A…