Spin geometry of Dirac and noncommutative geometry of Connes
type: Item
instance of: scholarly article
title: Spin geometry of Dirac and noncommutative geometry of Connes
zbMATH Open document ID: 1390.58006
DOI: 10.1134/S0081543817060177
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2018-02-27T00:00:00Z
review text: The paper presents the ideas underlying a correspondence between the Dirac geometry and the Connes noncommutative geometry. The first part of the paper gives a review of spin geometry. The second part deals with the noncommutative geometry, in particular the spectral triples. The text is a nice introduction and survey of main ideas of the noncommutative geometry.
reviewed by: Igor V. Nikolaev
Mathematics Subject Classification ID: 58B34
Mathematics Subject Classification ID: 46L85
zbMATH DE Number: 6844187
zbMATH Keywords: spin geometry
zbMATH Keywords: spectral triples
zbMATH Keywords: Dirac geometry
zbMATH Keywords: Connes noncommutative geometry
author: Armen Sergeev
MaRDI profile type: Publication
cites work: Q4310044
cites work: Q4956073
cites work: Basic noncommutative geometry
cites work: Q4367594
cites work: Q3995493
cites work: Quantum calculus and quasiconformal mappings
cites work: Quantization of the Sobolev space of half-differentiable functions
full work available at URL: s0081543817060177
OpenAlex ID: W2768419947
description: scientific article; zbMATH DE number 6844187