Gravity and the Noncommutative Residue for Manifolds with Boundary
Yong Wang
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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