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

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  • Yong Wang

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.

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  • Yong Wang, 2014. "A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, March.
    • Handle: RePEc:hin:jnlaaa:619120
    DOI: 10.1155/2014/619120
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