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20222026
most citedA Kastler-Kalau-Walze type theorem for the J-twist D_J of the Dirac operator

5 citations · 6 across the 15 of their papers we have counts for

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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 bimetric spectral Einstein-Hilbert action and the Kastler-Kalau-Walze type theorem for Lorentz warped products

Siyao Liu, Yong Wang

In this paper, we define the bimetric spectral Einstein-Hilbert action which generalizes the spectral Einstein-Hilbert action. We compute the bimetric spectral Einstein-Hilbert act…

math.DG2024

The general Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator

Siyao Liu, Yong Wang

In [21] and [22], we proved the Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator on 3-dimensional, 4-dimensional and 6-dimensional almost product Riemannia…

math.DG2024

Anomaly cancellation formulas and E_8 bundles for almost complex manifolds

Siyao Liu, Yong Wang

In this paper, we extend the elliptic genus in [10] by the gauge group E_8 and the gauge group E_8*E_8. Then we prove that the generalized elliptic genus are the weak Jacobi forms.…

math.DG2024

Anomaly cancellation and modularity: E8*E8*E8 case

Siyao Liu, Yong Wang, Yuchen Yang

In [5] and [19], the authors gave anomaly cancellation formulas for the gauge groups E8,E8*E8. In this paper, we mainly deal with the case of gauge group E8*E8*E8. Using the E8*E8*…