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Analytic Torsion for Fibred Boundary Metrics and Conic Degeneration

Year: 2024

Type: article

Abstract: We study the renormalized analytic torsion of complete manifolds with fibred boundary metrics, also referred to as $\phi $-metrics. We establish invariance of the torsion under suitable deformations of the metric, and establish a gluing formula. As an application, we relate the analytic torsions for complete $\phi $- and incomplete wedge-metrics. As a simple consequence we recover a result by Guillarmou and Sher about analytic torsion under conic degeneration.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae264

Authors: Jørgen Olsen Lye, Boris Vertman

Institutions: Leibniz University Hannover, Carl von Ossietzky Universität Oldenburg

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4405219118

FWCI:

Cites: 48

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Related to: 10