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20222026
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math.DG2026

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)…

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.DG2022

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…

math.DG2022

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…