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A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary

Published 24 Apr 2014 in math-ph and math.MP | (1404.6015v1)

Abstract: The Kastler-Kalau-Walze theorem, announced by Alain Connes, shows that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein-Hilbert action of general relativity. In this paper, we prove a Kastler-Kalau-Walze type theorem for 5-dimensional manifolds with boundary.

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