The spectral Einstein functional and the noncommutative residue for manifolds with boundary

2022/12/23 by Wu, Tong, Wang, Yong
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2212.12182

Abstract

In this paper, we define the spectral Einstein functional associated with the Dirac operator for manifolds with boundary. And we give the proof of Kastler-Kalau-Walze type theorem for the spectral Einstein functional associated with the Dirac operator on 4-dimensional manifolds with boundary.

Related

• Sub-Dirac operators, spectral Einstein functionals and the noncommutative residue
• Perturbations of Dirac operators, spectral Einstein functionals and the Noncommutative residue
• One-forms, spectral Einstein functionals and the noncommutative residue
• Sub-signature operators and the Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary
• A general Dabrowski-Sitarz-Zalecki type theorems for manifold with boundary