1210.5005 (Yong Wang)

The Kastler-Kalau-Walze type theorem and the spectral action for
perturbations of Dirac operators    [PDF]

Yong Wang

In this paper, we prove the Kastler-Kalau-Walze type theorem for perturbations of Dirac operators for manifolds with or without boundary. As a corollary, we give two kinds of operator-theoretic explanations of the gravitational action on the boundary. We also compute the spectral action for Dirac operators with two form perturbations on 4-dimensional manifolds.

View original: http://arxiv.org/abs/1210.5005