Heat kernels on covering spaces and topological invariants
type: Item
instance of: scholarly article
title: Heat kernels on covering spaces and topological invariants
zbMATH Open document ID: 0770.58040
author: John Lott
published in: Journal of Differential Geometry
publication date: 1993-02-18T00:00:00Z
review text: The author considers the concept of analytic torsion for covering spaces. This torsion is defined when the heat kernels on \(p\)-forms decay like a power \(-\alpha_ p\) of \(t\), as \(t \to \infty\). The exponent \(\alpha_ p\) is the Novikov-Shubin invariant. Examples are given where \(\alpha_ p\) is arbitrarily close to 0. Various estimates and calculations are given for Heisenberg groups and locally symmetric spaces. Also, \(\alpha_ p\) is proved to be a topological invariant.
reviewed by: Harold Donnelly
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 57R19
Mathematics Subject Classification ID: 57R20
zbMATH DE Number: 120209
zbMATH Keywords: \(L^ 2\)-cohomology
zbMATH Keywords: analytic torsion
zbMATH Keywords: Novikov-Shubin invariant
zbMATH Keywords: topological invariant
Wikidata QID: Q115181242
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214448084
OpenAlex ID: W2155023494
DOI: 10.4310/JDG/1214448084
description: scientific article; zbMATH DE number 120209