S ep 2 00 6 Gravity and the Noncommutative Residue for Manifolds with Boundary ∗
نویسنده
چکیده
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. Subj. Class.: Noncommutative global analysis; Noncommutative differential geometry. MSC: 58G20; 53A30; 46L87
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تاریخ انتشار 2006