The Witten Deformation of the Non-Minimal de Rham–Hodge Operator and Noncommutative Residue on Manifolds with Boundary

The Witten Deformation of the Non-Minimal de Rham–Hodge Operator and Noncommutative Residue on Manifolds with Boundary

Under the announcement by Alain Connes that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein–Hilbert action of general relativity, we derive the Lichnerowicz-type formula for the Witten deformation of the non-minimal de Rham–Hodge operator and the grav...

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Bibliographic Details
Main Authors: Tong Wu, Yong Wang
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematics
Subjects:
the Lichnerowicz type formula
the Witten deformation
the non-minimal de Rham–Hodge operator
the Kastler–Kalau–Walze-type theorem
Online Access:https://www.mdpi.com/2227-7390/12/22/3530

Internet

https://www.mdpi.com/2227-7390/12/22/3530

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