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math.DG2026
The Chern-Simons action for perturbed Dirac triples
Jin Hong, Yong Wang
In \cite{PO1} and \cite{PO2}, Pfante defined a noncommutative Chern-Simons action for 3-summable spectral triples and computed the Chern-Simons action for and th…
math.DG2024
A Kastler-Kalau-Walze type theorem for the -twist of the Dirac operator with torsion
Jin Hong, Siyao Liu, Yong Wang
In this paper, we give a Lichnerowicz type formula for the -twist of the Dirac operator with torsion. And we prove a Kastler-Kalau-Walze type theorem for the -twist of the Di…
math.DG2024
The spectral Einstein functional for the Dirac operator with torsion
Jin Hong, Yong Wang
In this paper, we compute the spectral Einstein functional associated with the Dirac operator with torsion on even-dimensional spin manifolds without boundary.