An Asymmetric Noncommutative Torus

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dc.contributor.authorDąbrowski, L.
dc.contributor.authorSitarz, A.
dc.date.accessioned2019-02-13T17:27:07Z
dc.date.available2019-02-13T17:27:07Z
dc.date.issued2015
dc.description.abstractWe 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).uk_UA
dc.description.sponsorshipL.D. gratefully acknowledges the hospitality of the Institute of Physics, Jagiellonian University in Krak´ow. L.D. partially supported by PRIN 2010 grant “Operator Algebras, Noncommutative Geometry and Applications”, A.S. partially supported by NCN grant 2012/06/M/ST1/00169. The authors express their gratitude to the referees for valuable comments.uk_UA
dc.identifier.citationAn Asymmetric Noncommutative Torus / L. Dąbrowski, A. Sitarz // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58B34; 46L87
dc.identifier.otherDOI:10.3842/SIGMA.2015.075
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147144
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleAn Asymmetric Noncommutative Torusuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік