1301.2240 (Piotr Olczykowski et al.)

Real Spectral Triples over Noncommutative Bieberbach Manifolds    [PDF]

Piotr Olczykowski, Andrzej Sitarz

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.

View original: http://arxiv.org/abs/1301.2240