\(L^ 2\)-analytic torsion
type: Item
instance of: scholarly article
title: \(L^ 2\)-analytic torsion
zbMATH Open document ID: 0756.58047
DOI: 10.1016/0022-1236(92)90114-X
author: Varghese Mathai
published in: Journal of Functional Analysis
publication date: 1992-09-27T00:00:00Z
review text: The author introduces a new differential invariant called \(L^ 2\)- analytic torsion, for closed manifolds whose universal covers have trivial \(L^ 2\)-cohomology, under the conjecture that these manifolds have positive decay. This means that the von Neumann trace of the heat kernel of the Laplacian minus the harmonic projection on \(L^ 2\) \(j\)- forms decays faster than some negative power of time. Various functional properties of \(L^ 2\)-analytic torsion are established and some explicit calculations of this invariant are made.
Mathematics Subject Classification ID: 58J35
zbMATH DE Number: 65347
zbMATH Keywords: \(L^ 2\)-analytic torsion
zbMATH Keywords: closed manifolds with positive decay
reviewed by: Georgi E. Karadzhov
MaRDI profile type: Publication
Wikidata QID: Q105426766
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full work available at URL: 0022-1236(92)90114-x
OpenAlex ID: W2085966904
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description: scientific article; zbMATH DE number 65347