Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | rnae264 |
| Seitenumfang | 33 |
| Fachzeitschrift | International Mathematics Research Notices |
| Jahrgang | 2025 |
| Ausgabenummer | 1 |
| Frühes Online-Datum | 10 Dez. 2024 |
| Publikationsstatus | Veröffentlicht - 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 Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: International Mathematics Research Notices, Jahrgang 2025, Nr. 1, rnae264, 01.2025.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 -