Heat trace and spectral action on the standard Podleś sphere
type: Item
instance of: scholarly article
title: Heat trace and spectral action on the standard Podleś sphere
zbMATH Open document ID: 1321.58019
author: Michał Eckstein
author: A. Sitarz
author: Bruno Iochum
published in: Communications in Mathematical Physics
publication date: 2014-10-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1307.4188
review text: The authors propose a new definition of the dimension spectrum for non-regular spectral triples \((\mathcal{A},\mathcal{H},\mathcal{D})\) using the poles of the meromorphic extension of the spectral zeta function \(\zeta_{\mathcal D}.\) Then the dimension spectrum and the trace of the heat operator are computed for the standard Podleś sphere.
reviewed by: Hans-Bert Rademacher
Mathematics Subject Classification ID: 58J42
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 58C40
zbMATH DE Number: 6361271
zbMATH Keywords: dimension spectrum
zbMATH Keywords: Podleś sphere
zbMATH Keywords: spectral triple
zbMATH Keywords: spectral zeta function
describes a project that uses: Mathematica
MaRDI profile type: Publication
OpenAlex ID: W3102253869
arXiv ID: 1307.4188
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DOI: 10.1007/S00220-014-2054-5
description: scientific article; zbMATH DE number 6361271