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2014 A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary
Yong Wang
Abstr. Appl. Anal. 2014: 1-13 (2014). DOI: 10.1155/2014/619120

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. "A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary." Abstr. Appl. Anal. 2014 1 - 13, 2014. https://doi.org/10.1155/2014/619120

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022738
MathSciNet: MR3186972
Digital Object Identifier: 10.1155/2014/619120

Rights: Copyright © 2014 Hindawi

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