Riemannian embeddings in codimension one as unbounded \(KK\)-cycles

DOI10.2140/AKT.2023.8.645zbMath1528.58006arXiv2212.08053MaRDI QIDQ6066223

Luuk S. Verhoeven, Walter D. van Suijlekom

Publication date: 12 December 2023

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.08053

zbMATH Keywords

noncommutative geometryspectral tripleunbounded \(KK\)-theoryRiemannian immersionunbounded product

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Noncommutative geometry (à la Connes) (58B34)

Related Items (1)

Isometric spectral subtriples

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• On the spectral characterization of manifolds
• Curvature of differentiable Hilbert modules and Kasparov modules
• Unbounded bivariant \(K\)-theory and correspondences in noncommutative geometry
• Spectral flow and the unbounded Kasparov product
• Metrics with harmonic spinors
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