Details
| Original language | English |
|---|---|
| Article number | rnae264 |
| Number of pages | 33 |
| Journal | International Mathematics Research Notices |
| Volume | 2025 |
| Issue number | 1 |
| Early online date | 10 Dec 2024 |
| Publication status | Published - Jan 2025 |
Abstract
We study the renormalized analytic torsion of complete manifolds with fibred boundary metrics, also referred to as φ-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 φ- and incomplete wedge-metrics. As a simple consequence we recover a result by Guillarmou and Sher about analytic torsion under conic degeneration.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: International Mathematics Research Notices, Vol. 2025, No. 1, rnae264, 01.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Analytic Torsion for Fibred Boundary Metrics and Conic Degeneration
AU - Lye, Jørgen Olsen
AU - Vertman, Boris
N1 - Publisher Copyright: © The Author(s) 2024. Published by Oxford University Press. All rights reserved.
PY - 2025/1
Y1 - 2025/1
N2 - We study the renormalized analytic torsion of complete manifolds with fibred boundary metrics, also referred to as φ-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 φ- and incomplete wedge-metrics. As a simple consequence we recover a result by Guillarmou and Sher about analytic torsion under conic degeneration.
AB - We study the renormalized analytic torsion of complete manifolds with fibred boundary metrics, also referred to as φ-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 φ- and incomplete wedge-metrics. As a simple consequence we recover a result by Guillarmou and Sher about analytic torsion under conic degeneration.
UR - http://www.scopus.com/inward/record.url?scp=85215687276&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2403.04402
DO - 10.48550/arXiv.2403.04402
M3 - Article
AN - SCOPUS:85215687276
VL - 2025
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 1
M1 - rnae264
ER -