A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary

Abstract

The Kastler-Kalau-Walze theorem, announced by Alain Connes, shows that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein-Hilbert action of general relativity. In this paper, we prove a Kastler-Kalau-Walze type theorem for 5-dimensional manifolds with boundary.

arXiv admin note: text overlap with arXiv:1303.3713, arXiv:1404.2339

References in corpus (3)

• Differential Forms and the Wodzicki Residue for Manifolds with Boundary
• Gravity and the Noncommutative Residue for Manifolds with Boundary
• Noncommutative geometry and lower dimensional volumes in Riemannian geometry