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An Asymmetric Noncommutative Torus
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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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).
Keywords: noncommutative geometry; Gauss–Bonnet; spectral triple. 
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     author = {Ludwik D\k{a}browski and Andrzej Sitarz},
     title = {An {Asymmetric} {Noncommutative} {Torus}},
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     year = {2015},
     volume = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a74/}
}
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Ludwik Dąbrowski; Andrzej Sitarz. An Asymmetric Noncommutative Torus. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a74/

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