Real spectral triples over noncommutative Bieberbach manifolds

DOI10.1016/j.geomphys.2013.05.003zbMath1282.58008arXiv1301.2240OpenAlexW1966180123MaRDI QIDQ390956

Piotr Olczykowski, Andrzej Sitarz

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2240

zbMATH Keywords

noncommutative geometryDirac operatorspectral triple

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34)

Related Items (3)

Twisted reality condition for Dirac operators ⋮ The coupling of topology and inflation in noncommutative cosmology ⋮ The geometry of quantum lens spaces: real spectral triples and bundle structure

Cites Work

• Unnamed Item
• Classification of spin structures on the noncommutative \(n\)-torus
• The spectral action and cosmic topology
• On spin structures and Dirac operators on the noncommutative torus
• \(K\)-theory of noncommutative Bieberbach manifolds
• On spectral action over Bieberbach manifolds
• The Dirac spectrum of Bieberbach manifolds

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