16 citations · 54 across the 23 of their papers we have counts for
5 papers · 1 filter
Spectral Torsion for Nonminimal de-Rham Hodge Operator
Jian Wang, Yong Wang
In this paper, we investigate some new spectral torsion which is the extension of spectral torsion for Dirac operators, and compute the spectral torsion associated with nonminimal…
The noncommutative residue, divergence theorems and the spectral geometry functional
Jian Wang, Yong Wang
In this paper, a simple proof of the divergence theorem is given by using the Dirac operator and noncommutative residues. Then we extend the divergence theorem to compact manifolds…
The spectral torsion for the Connes type operator
Jian Wang, Yong Wang
This paper aims to provide an explicit computation of the spectral torsion associated with the Connes type operator on even dimension compact manifolds.And we also extend the spect…
A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary
Jian Wang, Yong Wang
The Kastler-Kalau-Walze theorem, announced by Alain Connes, shows that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein-Hilbert acti…
Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary
Jian Wang, Yong Wang, ChunLing Yang
In this paper, we get the Kastler-Kalau-Walze theorem associated to Dirac operators with torsion on compact manifolds with boundary. We give two kinds of operator-theoretic explana…