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The spectral torsion for the one form rescaled Dirac operator

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arxiv 2505.23319 v1 pith:6GTPGG77 submitted 2025-05-29 math.DG

The spectral torsion for the one form rescaled Dirac operator

classification math.DG
keywords spectraltorsiondiracformoperatorrescaledoperatorsboundary
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The spectral torsion is defined by three vector fields and Dirac operators and the noncommutative residue. Motivated by the spectral torsion and the one form rescaled Dirac operator, we give some new spectral torsion which is the extension of spectral torsion for Dirac operators, and compute the spectral torsion for the one form rescaled Dirac operator on even-dimensional spin manifolds without boundary.

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