Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898568 | Journal of Geometry and Physics | 2013 | 13 Pages |
Abstract
We classify and construct all real spectral triples over noncommutative Bieberbach manifolds, which are restrictions of irreducible, real, equivariant spectral triples 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Piotr Olczykowski, Andrzej Sitarz,