On spin structures and Dirac operators on the noncommutative torus

DOI10.1007/s11005-006-0094-2zbMath1120.58008arXivmath/0605191OpenAlexW2003992674WikidataQ60400123 ScholiaQ60400123MaRDI QIDQ867324

Mario Paschke, Andrzej Sitarz

Publication date: 15 February 2007

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605191

zbMATH Keywords

noncommutative geometryspectral geometry

Mathematics Subject Classification ID

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

Related Items (10)

GEOMETRY OF SPIN ANDSPIN^cSTRUCTURES IN THE M-THEORY PARTITION FUNCTION ⋮ Twisted reality condition for Dirac operators ⋮ Classification of spin structures on the noncommutative \(n\)-torus ⋮ Real spectral triples over noncommutative Bieberbach manifolds ⋮ Reconstructing manifolds from truncations of spectral triples ⋮ Curved noncommutative torus and Gauss–Bonnet ⋮ NONCOMMUTATIVE MIXMASTER COSMOLOGIES ⋮ Spin geometry of the rational noncommutative torus ⋮ Spinors and theta deformations ⋮ Spectral triples with multitwisted real structure

Cites Work

• Hochschild and cyclic homology of the quantum multiparametric torus
• Noncommutative geometry and reality
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