3 papers
math.DG2026
Statistical de Rham Hodge operators, spectral Einstein functionals and the noncommutative residue
Yuchen Yang, Yong Wang
Inspired by statistical de Rham Hodge operators and the spectral functionals, we carry on some promotion to spectral functionals to noncommutative fields, and associate them with t…
math.DG2024
Sub-Dirac operators, spectral Einstein functionals and the noncommutative residue
Jin Hong, Yuchen Yang, Yong Wang
In this paper, we define the spectral Einstein functional associated with the sub-Dirac operator for manifolds with boundary. A proof of the Dabrowski-Sitarz-Zalecki type theorem f…
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*…