Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc.

Online first article July 23, 2024

Copyright © The Korean Mathematical Society.

The generalized Zhang’s operator and Kastler-Kalau-Walze type theorems for six-dimensional manifolds with boundary

Hongfeng Li and Yong Wang

Northeast Normal University

Abstract

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In [16], we obtain two Lichnerowicz type formulas for the generalized Zhang’s operator. And we give the proof of the Kastler-Kalau-Walze type theorem for the generalized Zhang’s operator on 4-dimensional oriented compact manifolds with (resp. without) boundary. In this paper, we give the proof of the Kastler-Kalau-Walze type theorem for the generalized Zhang’s operator on 6-dimensional oriented compact manifolds with boundary.

Keywords: Kastler-Kalau-Walze type theorems; noncommutative residue; generalized Zhang’s operators

MSC numbers: 53C05; 53C25; 58A05.

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