Intersection R-torsion and analytic torsion for pseudomanifolds
type: Item
instance of: scholarly article
title: Intersection R-torsion and analytic torsion for pseudomanifolds
zbMATH Open document ID: 0605.57012
DOI: 10.1007/BF01161968
author: Aparna Dar
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173827
review text: For a closed Riemannian manifold the Reidemeister torsion equals the analytic torsion T [see \textit{J. Cheeger}, Ann. Math., II. Ser. 109, 259- 322 (1979; Zbl 0412.58026); \textit{W. Müller}, Adv. Math. 28, 233-305 (1978; Zbl 0395.57011)]. We construct a finer invariant, the intersection R-torsion \(I\tau\) for pseudomanifolds. For metrics with conical singularities we study the analytic torsion T. Our study indicates that in this case also the intersection R-torsion \(I\tau\) equals the analytic torsion T.
Mathematics Subject Classification ID: 57Q10
Mathematics Subject Classification ID: 57P05
Mathematics Subject Classification ID: 58J99
zbMATH DE Number: 3977946
zbMATH Keywords: Reidemeister torsion
zbMATH Keywords: analytic torsion
zbMATH Keywords: intersection R-torsion
zbMATH Keywords: pseudomanifolds
zbMATH Keywords: conical singularities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3977946