The spectral localizer for even index pairings

DOI10.4171/JNCG/357zbMath1441.19011arXiv1802.04517OpenAlexW3006554784MaRDI QIDQ784872

Hermann Schulz-Baldes, Terry A. Loring

Publication date: 3 August 2020

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

Full work available at URL: https://arxiv.org/abs/1802.04517

zbMATH Keywords

index pairingsfuzzy spheresnumerical \(K\)-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Eta-invariants, Chern-Simons invariants (58J28) Index theory (19K56)

Related Items

Estimating bulk and edge topological indices in finite open chiral chains, Quadratic pseudospectrum for identifying localized states, The index theorem of lattice Wilson-Dirac operators via higher index theory, The noncommutative geometry of the Landau Hamiltonian: differential aspects, Edge State Dynamics Along Curved Interfaces, Callias-type operators associated to spectral triples, Spectral localization for semimetals and Callias operators, Spectral localizer for line-gapped non-Hermitian systems, Approximate symmetries and conservation laws in topological insulators and associated \(\mathbb{Z}\)-invariants, Dimensional reduction and scattering formulation for even topological invariants, The spectral localizer for semifinite spectral triples, Skew localizer and \(\mathbb{Z}_2\)-flows for real index pairings, The noncommutative geometry of the Landau Hamiltonian: metric aspects, Chern numbers as half-signature of the spectral localizer, Bulk spectrum and K-theory for infinite-area topological quasicrystals, Surfaces and hypersurfaces as the joint spectrum of matrices

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