5 papers
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…
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.…
modular forms and anomaly cancellation formulas
Siyao Liu, Yong Wang
In [5], [6] and [8], the authors gave some modular forms over . In this note, we proceed with the study of cancellation formulas relating to the modular forms.
The Kastler-Kalau-Walze type theorems about J-Witten deformation
Siyao Liu, Yong Wang
In this paper, we obtain a Lichnerowicz type formula for J-Witten deformation and give the proof of the Kastler-Kalau-Walze type theorems associated with J-Witten deformation on fo…
Geometric structures in
Siyao Liu
In this paper, we conclude the geometric structures in with the Levi-Civita connection and the semi-symmetric non-metric connection. We discuss two special cases to study t…