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arXiv · 2309.07558

The Hodge-Dirac operator and Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary

Tong Wu·Yong Wang
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Abstract

In [10], Dabrowski etc. gave spectral Einstein bilinear functionals of differential forms for the Hodge-Dirac operator $d+\delta$ on an oriented even-dimensional Riemannian manifold. In this paper, we generalize the results of Dabrowski etc. to the cases of 4 dimensional oriented Riemannian manifolds with boundary. Furthermore, we give the proof of Dabrowski-Sitarz-Zalecki type theorems associated with the Hodge-Dirac operator for manifolds with boundary.

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Tong Wu, Yong Wang. 2023-09-14. The Hodge-Dirac operator and Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary. https://arxiv.org/abs/2309.07558

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