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arXiv · 2403.04402

Analytic torsion for fibred boundary metrics and conic degeneration

Jørgen Olsen Lye·Boris Vertman
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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 Sher and Guillarmou about analytic torsion under conic degeneration.

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Jørgen Olsen Lye, Boris Vertman. 2024-03-07. Analytic torsion for fibred boundary metrics and conic degeneration. https://doi.org/10.1093/imrn/rnae264

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