The Spectral Einstein functional and Kastler-Kalau-Walze type theorems

Abstract

In this paper, on the basis of defining the spectral Einstein functional associated with the Dirac operator for manifolds with boundary, we prove Kastler-Kalau-Walze type theorem for the spectral Einstein functional associated with the Dirac operator on low-dimensional manifolds with boundary.

References in corpus (4)

• Differential Forms and the Wodzicki Residue for Manifolds with Boundary
• Gravity and the Noncommutative Residue for Manifolds with Boundary
• Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
• Spectral Metric and Einstein Functionals