Residue-torsion and the Laplacian on Riemannian manifolds

Niccolò Salvatori; Simon Scott

doi:10.1080/03605302.2020.1871365

Residue-torsion and the Laplacian on Riemannian manifolds

Niccolò Salvatori, Simon Scott^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The Ray–Singer analytic torsion is the classical zeta-trace of a sum of logarithm operators of p-form Laplacians on the de Rham complex. In this article, we examine residue-analytic torsion, defined using the residue trace in place of the zeta function regularised trace.

Original language	English
Pages (from-to)	1246-1261
Number of pages	16
Journal	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume	46
Issue number	7
DOIs	https://doi.org/10.1080/03605302.2020.1871365
Publication status	Published - 2021

Keywords

Analytic torsion
Reidemeister torsion
residue trace

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10.1080/03605302.2020.1871365

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abstract = "The Ray–Singer analytic torsion is the classical zeta-trace of a sum of logarithm operators of p-form Laplacians on the de Rham complex. In this article, we examine residue-analytic torsion, defined using the residue trace in place of the zeta function regularised trace.",

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KW - Reidemeister torsion

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Residue-torsion and the Laplacian on Riemannian manifolds

Abstract

Keywords

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