4 papers · 1 filter
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)…
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…
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 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…