Factorization of Dirac operators on almost-regular fibrations of \(\mathrm{spin}^c\) manifolds

DOI10.25537/dm.2020v25.2049-2084zbMath1451.19018arXiv1710.03182OpenAlexW3134181572MaRDI QIDQ2213799

Jens Kaad, Walter D. van Suijlekom

Publication date: 3 December 2020

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03182

zbMATH Keywords

Dirac operatorsKasparov productKK-theoryunbounded KK-theoryunbounded Kasparov product\(\mathrm{spin}^c\)-manifoldshalf-closed chainsproper Riemannian submersionsunbounded Kasparov modules

Mathematics Subject Classification ID

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

Related Items

Curvature of differentiable Hilbert modules and Kasparov modules, The Kasparov product on submersions of open manifolds, Interior Kasparov products for \(\varrho\)-classes on Riemannian foliated bundles, Lifting spectral triples to noncommutative principal bundles, The unbounded Kasparov product by a differentiable module

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