The generators of the \(K\)-groups of the sphere

DOI10.1016/j.exmath.2023.125519arXiv2403.18944OpenAlexW4388571268MaRDI QIDQ6149200

Hermann Schulz-Baldes, Tom Stoiber

Publication date: 5 February 2024

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2403.18944

zbMATH Keywords

generatorsDirac Hamiltonian\(K\)-groupsconnecting mapsWeyl Hamiltonian

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) (K)-theory in geometry (19E99)

Cites Work

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• Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
• Index pairings in presence of symmetries with applications to topological insulators
• \(K\)-theory for real \(C^*\)-algebras via unitary elements with symmetries
• The odd Chern character in cyclic homology and spectral flow
• \(K\)-homology and Fredholm operators. I: Dirac operators
• Spectral flow of monopole insertion in topological insulators
• Finite volume calculation of \(K\)-theory invariants
• Generalized Connes–Chern characters inKK-theory with an application to weak invariants of topological insulators