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35 papers · 1 filter
Spectral forms and de-Rham Hodge operator
Jian Wang, Yong Wang, Mingyu Liu
Motivated by the trilinear functional of differential one-forms, spectral triple and spectral torsion for the Hodge-Dirac operator, we introduce a multilinear functional of differe…
Dirac operators with torsion, spectral Einstein functionals and the noncommutative residue
Jian Wang, Yong Wang, Tong Wu
Recently Dabrowski etc. \cite{DL} obtained the metric and Einstein functionals by two vector fields and Laplace-type operators over vector bundles, giving an interesting example of…
Equivariant Bismut Laplacian and spectral Einstein functional
Jian Wang, Yong Wang
This paper aims to provide an explicit computation of the equivariant noncommutative residue density of which yield the metric and Einstein tensors on even-dimensional Riemannian m…
The Spectral Einstein functional and Kastler-Kalau-Walze type theorems
Yuchen Yang, Tong Wu
In this paper, on the basis of defining the spectral Einstein functional associated with the Dirac operator for manifolds with boundary, we prove Kastler-Kalau-Walze type theorem f…
The J-twist D_J of the Dirac operator and the Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary
Siyao Liu, Yong Wang
In [22], the authors proved a Kastler-Kalau-Walze type theorem for the J-twist D_J of the Dirac operator on 3-dimensional and 4-dimensional almost product Riemannian spin manifold…
A Kastler-Kalau-Walze type theorem for the J-twist D_J of the Dirac operator
Siyao Liu, Yong Wang
In this paper, we give a Lichnerowicz type formula for the J-twist D_J of the Dirac operator. And we prove a Kastler-Kalau-Walze type theorem for the J-twist D_J of the Dirac opera…