5 citations · 6 across the 15 of their papers we have counts for
15 papers
Elliptic genera and E8 Bundles in odd dimensions
Siyao Liu, Yong Wang
This paper aims to derive new anomaly cancellation formulas by combining modular forms with E8 and E8*E8 bundles. To this end, we systematically twist and generalize known SL(2,Z)…
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…
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…
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.…
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*…
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.
A note on modular forms and generalized anomaly cancellation formulas 2
Siyao Liu, Yong Wang
In [7], Liu and Wang generalized the Han-Liu-Zhang cancellation formulas to the (a, b) type cancellation formulas. In this note, we prove some another (a, b) type cancellation form…
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…
Geometric structures of Morris-Thorne wormhole metric with the semi-symmetric non-metric connections
Siyao Liu, Yong Wang
Spacetime is a 4-dimensional connected Lorentzian manifold. In this paper, we extend the Levi-Civita connection in the definition of spacetime to the semi-symmetric non-metric conn…
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…
Algebraic Schouten Solitons of Three-Dimensional Lorentzian Lie Groups
Siyao Liu, Yong Wang
In [10], Wears defined and studied algebraic T-solitons. In this paper, we give the definition of algebraic Schouten solitons as a special T-soliton and classify algebraic Schouten…
Affine connections on singular multiply warped products and singular twisted products
Siyao Liu, Tong Wu, Yong Wang
In this paper, we generalize the results in [Y. Wang: Affine connections on singular warped products. Int. J. Geom. Methods Mod. Phys. 18(5), 2150076, (2021).] to singular multiply…
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…