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Bibliographic Details
Main Authors:	Wu, Tong, Wang, Yong
Format:	Preprint
Published:	2025
Subjects:	K-Theory and Homology Differential Geometry
Online Access:	https://arxiv.org/abs/2507.05855
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In [6], the higher-order spectral triple and its relative K-homology were studied. Motivated by the Kastler-Kalau-Walze theorem, we propose an extension of the Einstein-Hilbert action to the framework of higher-order spectral triples. To illustrate this construction, we introduce two second-order spectral triples and explicitly compute their respective Einstein-Hilbert action, demonstrating the applicability of our theoretical framework.