The generalized noncommutative residue and the Kastler-Kalau-Walze type theorem

Published 23 Apr 2022 in math.DG | (2204.11021v1)

Abstract: In this paper, we define the generalized noncommutative residue of the Dirac operator. And we give the proof of Kastler-Kalau-Walze type theorems for the generalized noncommutative residue on 4-dimensional and 6-dimensional compact manifolds with (resp.without) boundary.

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