Gravity and the Noncommutative Residue for Manifolds with Boundary |
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| Authors: | Yong Wang |
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| Affiliation: | (1) School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China;(2) Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang, 310027, China |
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| Abstract: | We prove a Kastler–Kalau–Walze type theorem for the Dirac operator and the signature operator for 3,4-dimensional manifolds with boundary. As a corollary, we give two kinds of operator-theoretic explanations of the gravitational action in the case of 4-dimensional manifolds with flat boundary. |
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| Keywords: | 58G20 53A30 46L87 |
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