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arXiv · 1301.2240

Real Spectral Triples over Noncommutative Bieberbach Manifolds

Piotr Olczykowski·Andrzej Sitarz
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Abstract

We classify and construct all real spectral triples over noncommutative Bieberbach manifolds, which are restrictions of irreducible real equivariant spectral triple over the noncommutative three-torus. We show that in the classical case the constructed geometries correspond exactly to spin structures over Bieberbach manifolds and the Dirac operators constructed for a flat metric.

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Piotr Olczykowski, Andrzej Sitarz. 2013-01-10. Real Spectral Triples over Noncommutative Bieberbach Manifolds. https://doi.org/10.1016/j.geomphys.2013.05.003

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