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math-ph2025
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…
math-ph2025
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…