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This is a Quantitative Study study.

October 13, 2025Open Access

Spectral (0,4)-tensor functionals and the noncommutative residue

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The study derives spectral (0,4)-tensor functionals from four one-forms and the Dirac operator, contributing to the field of noncommutative geometry.
The main evidence includes the extension of these functionals to a general spectral triple, which broadens their applicability in mathematical physics.
The methodological approach encompasses deriving functionals in the context of even-dimensional compact spin manifolds without boundary.
The findings highlight the potential for further exploration of noncommutative residue concepts in advanced geometric frameworks.

Implication

Analysis derives spectral tensor functionals from one-forms and the Dirac operator, suggesting extensions to spectral triples.

Abstract

In this paper, we derive some spectral (0,4)-tensor functionals by four one-forms and the Dirac operator and the noncommutative residue on even-dimensional compact spin manifolds without boundary. Then, we extend these spectral (0,4)-tensor functionals to a general spectral triple.

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Cite This Study

Hong-feng et al. (2025) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d129719c https://doi.org/10.48550/arxiv.2503.01084

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Implication

Analysis derives spectral tensor functionals from one-forms and the Dirac operator, suggesting extensions to spectral triples.

Spectral (0,4)-tensor functionals and the noncommutative residue

Key Points

Implication

Abstract

Discussion

Cite This Study

Spectral (0,4)-tensor functionals and the noncommutative residue

Key Points

Implication

Abstract

Discussion

Cite This Study

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