A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary

Yong Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-13

Abstract:

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

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:619120

DOI: 10.1155/2014/619120

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