The Kasparov product on submersions of open manifolds

DOI10.1142/S1793525320500454zbMath1492.19006arXiv1811.07824WikidataQ126525959 ScholiaQ126525959MaRDI QIDQ5072112

Koen van den Dungen

Publication date: 25 April 2022

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07824

zbMATH Keywords

Dirac operatorsRiemannian submersionsunbounded \textit{KK}-theory

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Spin and Spin({}^c) geometry (53C27) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34)

Cites Work

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• Spectral flow and the unbounded Kasparov product
• On a theorem of Kucerovsky for half-closed chains
• On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space
• Bordism invariance in KK-theory

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