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An Asymmetric Noncommutative Torus

Vernadsky National Library of Ukraine

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Title An Asymmetric Noncommutative Torus
 
Creator Dąbrowski, L.
Sitarz, A.
 
Description We introduce a family of spectral triples that describe the curved noncommutative two-torus. The relevant family of new Dirac operators is given by rescaling one of two terms in the flat Dirac operator. We compute the dressed scalar curvature and show that the Gauss-Bonnet theorem holds (which is not covered by the general result of Connes and Moscovici).
 
Date 2019-02-13T17:27:07Z
2019-02-13T17:27:07Z
2015
 
Type Article
 
Identifier An Asymmetric Noncommutative Torus / L. Dąbrowski, A. Sitarz // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 58B34; 46L87
DOI:10.3842/SIGMA.2015.075
http://dspace.nbuv.gov.ua/handle/123456789/147144
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України