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An Asymmetric Noncommutative Torus (1406.4645v3)
Published 18 Jun 2014 in math.QA, math-ph, and math.MP
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).
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