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math.KT2025
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…
math.DG2025
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…
math.DG2025
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…