9 papers
The Chern-Simons action for perturbed Dirac triples
Jin Hong, Yong Wang
In \cite{PO1} and \cite{PO2}, Pfante defined a noncommutative Chern-Simons action for 3-summable spectral triples and computed the Chern-Simons action for and th…
Several new modular forms and anomaly cancellation formulas
Yong Wang
In \cite{HLZ2} and \cite{HHLZ}, using bundles, some modular forms over were constructed on -dimensional manifolds and the Witten-Freed-Hopkins anomaly can…
The two-variable elliptic genus in odd dimensions
Yong Wang
A kind of two-variable elliptic genus for almost-complex manifolds was introduced by Ping Li and its various properties were established by him. In this paper, we define a two-vari…
The spectral torsion for the rescaled Dirac operator
Tong Wu, Yong Wang
In the paper, we give four different examples of the rescaled Dirac operator by the perturbation of the function f. Further, based on the trilinear Clifford multiplication by funct…
The spectral Einstein functional for the Dirac operator with torsion
Jin Hong, Yong Wang
In this paper, we compute the spectral Einstein functional associated with the Dirac operator with torsion on even-dimensional spin manifolds without boundary.
The Rescaled Dirac operator fDh and the noncommutative residue for 6-dimensional manifolds
Tong Wu, Yong Wang
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-K…
Transformation operators and the Kastler-Kalau-Walze type theorems on 4-dimensional manifolds
Sining Wei, Yong Wang
In this paper, we compute the lower-dimensional volume Vol(1,1) about transformation operators for 4- dimensional spin manifolds with boundary and we also get the Kastler-Kalau-Wal…
Sub-Dirac operators, spectral Einstein functionals and the noncommutative residue
Jin Hong, Yuchen Yang, Yong Wang
In this paper, we define the spectral Einstein functional associated with the sub-Dirac operator for manifolds with boundary. A proof of the Dabrowski-Sitarz-Zalecki type theorem f…
Perturbations of Dirac operators, spectral Einstein functionals and the Noncommutative residue
Sining Wei, Yong Wang
In this paper, we introduce the spectral Einstein functional for perturbations of Dirac operators on manifolds with boundary. Furthermore, we provide the proof of the Dabrowski-Sit…