Algebraic Versus Spectral Torsion

2024/12/27 by Ludwik Dąbrowski, Yang Liu, Dąbrowski, Ludwik +3 · 2 citations
Computer Science · Engineering · #Advanced Algebra and Logic #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2412.19949

openalex publication_date 2024/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We relate the recently defined spectral torsion with the algebraic torsion of noncommutative differential calculi on the example of the almost-commutative geometry of the product of a closed oriented Riemannian spin manifold M with the two-point space \mathcal Z₂.

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• Spectral torsion of the internal noncommutative geometry of the Standard Model
• On geometric spectral functionals

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