Perturbations of Dirac Operators and A KKW Type Theorem for Five Dimensional Manifolds with Boundary

Abstract

In this paper, we define lower dimensional volumes of compact Riemannian manifolds with boundary. For five dimensional spin manifolds with boundary, we prove a Kastler-Kalau-Walze type theorem associated with one-form perturbations of Dirac operators in this case.

arXiv comment18. arXiv admin note: substantial text overlap with arXiv:1404.6015

References in corpus (1)

• Differential Forms and the Wodzicki Residue for Manifolds with Boundary