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math.DG2025
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…
math.DG2025
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…
math.DG2024
Equivariant Twisted Bismut Laplacian with Torsion and KKW type theorems
Jian Wang, Yong Wang
This paper aims to provide an explicit computation of the noncommutative residue density associated with equivariant twisted Bismut Laplacian with torsion on compact manifolds with…