An Asymmetric Noncommutative Torus
Quantum Algebra
2018-06-04 v3 Mathematical Physics
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).
Cite
@article{arxiv.1406.4645,
title = {An Asymmetric Noncommutative Torus},
author = {Ludwik Dabrowski and Andrzej Sitarz},
journal= {arXiv preprint arXiv:1406.4645},
year = {2018}
}