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arXiv · 2407.14818

The Rescaled Dirac operator fDh and the noncommutative residue for 6-dimensional manifolds

Tong Wu·Yong Wang
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Abstract

In this paper, we compute the noncommutative residue for the rescaled Dirac operator fDh on 6-dimensional compact manifolds without boundary. And we give the proof of the Kastler-Kalau-Walze type theorem for the rescaled Dirac operator fDh on 6-dimensional compact manifolds with boundary. We also give some important special cases which can be solved by our calculation methods.

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Tong Wu, Yong Wang. 2024-07-20. The Rescaled Dirac operator fDh and the noncommutative residue for 6-dimensional manifolds. https://arxiv.org/abs/2407.14818

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