3 citations · 4 across the 11 of their papers we have counts for
12 papers
Mod 3 Congruence Families for twisted signatures of string manifolds in dimensions up to twenty-eight
Tong Wu, Yong Wang
In the paper, we establish congruences for twisted Dirac indices and signatures on closed string manifolds by specializing the two-parameter modular forms of Liu and Wang to the ta…
Hamiltonian-Type Spectral Functionals for Time-Dependent Perturbed Hodge--de Rham Operators
Sining Wei, Yong Wang
Let be a smooth family of Riemannian metrics on an oriented manifold of even dimension , and let on the fixed exterior bundle, with self-adj…
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 Einstein-Hilbert action for perturbed second-order spectral triples
Tong Wu, Yong Wang
In [6], the higher-order spectral triple and its relative K-homology were studied. Motivated by the Kastler-Kalau-Walze theorem, we propose an extension of the Einstein-Hilbert act…
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…
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.
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…
Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups
Yong Wang
In this paper, we compute canonical connections and Kobayashi-Nomizu connections and their curvature on three-dimensional Lorentzian Lie groups with some product structure. We defi…