Riemannian manifolds in noncommutative geometry

DOI10.1016/j.geomphys.2012.03.004zbMath1261.53032arXiv1109.2196OpenAlexW2225203601WikidataQ115353219 ScholiaQ115353219MaRDI QIDQ423691

Adam Rennie, Joseph C. Várilly, Steven Lord

Publication date: 4 June 2012

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

Full work available at URL: https://arxiv.org/abs/1109.2196

zbMATH Keywords

noncommutative geometryKasparov productspectral triplesnoncommutative Riemannian manifolds

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Noncommutative global analysis, noncommutative residues (58J42)

Related Items

Curvature of differentiable Hilbert modules and Kasparov modules, Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory, The bordism group of unbounded KK-cycles, Real structures on almost-commutative spectral triples, Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases, A p-adic spectral triple, Equivariant \(KK\)-theory for non-Hausdorff groupoids, A reconstruction theorem for Connes-Landi deformations of commutative spectral triples, Localizing gauge theories from noncommutative geometry, The extension class and KMS states for Cuntz–Pimsner algebras of some bi-Hilbertian bimodules, Projective Dirac operators, twisted \(K\)-theory, and local index formula, Poincaré duality for Cuntz-Pimsner algebras, Spectral metric spaces on extensions of \(C^*\)-algebras, The \(K\)-theoretic bulk-edge correspondence for topological insulators, Twisted spectral triples and quantum statistical mechanical systems, Twisted reality and the second-order condition, The standard model in noncommutative geometry and Morita equivalence, Spectral action and the electroweak \(\theta\)-terms for the standard model without fermion doubling

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