Gravity and the Noncommutative Residue for Manifolds with Boundary

Details Gravity and the Noncommutative Residue for Manifolds with Boundary Gravity and the Noncommutative Residue for Manifolds with Boundary

2006-09-02

arxiv.org/abs/math/0609058v1

Lett. Math. Phys.(2007) 80: 37-56

Mathematics

Differential Geometry

Scientific paper

10.1007/s11005-007-0147-1

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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