\(K\)-homology and Fredholm operators. I: Dirac operators

DOI10.1016/j.geomphys.2018.08.008zbMath1409.58014arXiv1604.03502OpenAlexW2962919830MaRDI QIDQ1629700

Erik van Erp, Paul F. Baum

Publication date: 12 December 2018

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

Full work available at URL: https://arxiv.org/abs/1604.03502

zbMATH Keywords

Dirac operatorBott periodicityAtiyah-Singer index theorem

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (4)

Spectral localization for semimetals and Callias operators ⋮ The generators of the \(K\)-groups of the sphere ⋮ Index theory and noncommutative geometry: a survey ⋮ Analytic Pontryagin duality

Cites Work

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• Clifford modules
• The index of elliptic operators. I
• Le théorème de Riemann-Roch
• Characteristic Classes. (AM-76)
• Spectral asymmetry and Riemannian geometry. III
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• Riemann-Roch theorems for differentiable manifolds

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