Residue-Torsion and the Laplacian on Riemannian Manifolds

Niccolò Salvatori; Simon Scott

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arXiv · 2002.06981

Residue-Torsion and the Laplacian on Riemannian Manifolds

Niccolò Salvatori·Simon Scott

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Abstract

The Ray-Singer analytic torsion is the zeta-function trace of a certain sum of logarithm operators on the de Rham complex. In this note we examine the residue analytic torsion, defined using the residue-trace instead of the spectral zeta function quasi-trace.

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Niccolò Salvatori, Simon Scott. 2020-02-17. Residue-Torsion and the Laplacian on Riemannian Manifolds. https://arxiv.org/abs/2002.06981

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