Real spectral triples over noncommutative Bieberbach manifolds

被引：4

作者：

Olczykowski, Piotr ^{[1
]}

Sitarz, Andrzej ^{[2
,3
]}

机构：

[1] Copernicus Ctr Interdisciplinary Studies, PL-31016 Krakow, Poland

[2] Jagiellonian Univ, Inst Phys, PL-30059 Krakow, Poland

[3] Polish Acad Sci, Inst Math, PL-00950 Warsaw, Poland

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2013年 / 73卷

关键词：

Noncommutative geometry; Spectral triple; Dirac operator;

D O I：

10.1016/j.geomphys.2013.05.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：91 / 103

页数：13

共 9 条

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