Noncommutative circle bundles and new Dirac operators

DOI10.1007/s00220-012-1550-8zbMath1271.58005arXiv1012.3055OpenAlexW3105772200MaRDI QIDQ1941078

Andrzej Sitarz, Ludwik Dąbrowski

Publication date: 11 March 2013

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

Full work available at URL: https://arxiv.org/abs/1012.3055

zbMATH Keywords

Dirac operatorLaplace operatornoncommutative torusspectral triplenoncommutative principal \(U(1)\)-bundle

Mathematics Subject Classification ID

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

Related Items (11)

An Atiyah sequence for noncommutative principal bundles ⋮ Gauge theory for spectral triples and the unbounded Kasparov product ⋮ Riemannian submersions and factorization of Dirac operators ⋮ Gravity, non-commutative geometry, and the Wodzicki residue ⋮ Gauge theory on noncommutative Riemannian principal bundles ⋮ Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I. ⋮ FACTORISATION OF EQUIVARIANT SPECTRAL TRIPLES IN UNBOUNDED -THEORY ⋮ Lifting spectral triples to noncommutative principal bundles ⋮ Spectral triples with multitwisted real structure ⋮ DIRAC OPERATORS ON NONCOMMUTATIVE PRINCIPAL CIRCLE BUNDLES ⋮ The geometry of quantum lens spaces: real spectral triples and bundle structure

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