Riemannian submersions and factorization of Dirac operators

DOI10.4171/JNCG/299zbMath1405.19002arXiv1610.02873OpenAlexW2962961307WikidataQ115212244 ScholiaQ115212244MaRDI QIDQ1711407

Jens Kaad, Walter D. van Suijlekom

Publication date: 17 January 2019

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02873

zbMATH Keywords

Dirac operatorsRiemannian submersionsunbounded KK-theoryspin-c structureswrong way functoriality

Mathematics Subject Classification ID

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

Related Items

Schatten classes for Hilbert modules over commutative \(C^\ast \)-algebras ⋮ Curvature of differentiable Hilbert modules and Kasparov modules ⋮ The Kasparov product on submersions of open manifolds ⋮ Sums of regular self-adjoint operators in Hilbert-\(C^{\ast}\)-modules ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ Interior Kasparov products for \(\varrho\)-classes on Riemannian foliated bundles ⋮ Factorization of Dirac operators on almost-regular fibrations of \(\mathrm{spin}^c\) manifolds ⋮ Gauge theory on noncommutative Riemannian principal bundles ⋮ Lifting spectral triples to noncommutative principal bundles ⋮ The unbounded Kasparov product by a differentiable module ⋮ Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space

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