An Asymmetric Noncommutative Torus

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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dc.contributor.author	Dąbrowski, L.
dc.contributor.author	Sitarz, A.
dc.date.accessioned	2019-02-13T17:27:07Z
dc.date.available	2019-02-13T17:27:07Z
dc.date.issued	2015
dc.identifier.citation	An 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 58B34; 46L87
dc.identifier.other	DOI:10.3842/SIGMA.2015.075
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147144
dc.description.abstract	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).	uk_UA
dc.description.sponsorship	L.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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	An Asymmetric Noncommutative Torus	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA