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arXiv · 1406.4645

An Asymmetric Noncommutative Torus

Ludwik Dabrowski·Andrzej Sitarz
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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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Ludwik Dabrowski, Andrzej Sitarz. 2014-06-18. An Asymmetric Noncommutative Torus. https://doi.org/10.3842/sigma.2015.075

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