The index of generalised Dirac-Schrödinger operators

DOI10.4171/JST/283zbMath1439.19008arXiv1710.09206MaRDI QIDQ2301867

Koen van den Dungen

Publication date: 25 February 2020

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.09206

zbMATH Keywords

spectral flowindex theoryDirac-Schrödinger operatorsunbounded \(KK\)-theory

Mathematics Subject Classification ID

Noncommutative topology (46L85) Applications of operator theory in the physical sciences (47N50) Index theory and related fixed-point theorems on manifolds (58J20) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56) Spectral flows (58J30)

Related Items (8)

Locally equivalent quasifree states and index theory ⋮ The KO-valued spectral flow for skew-adjoint Fredholm operators ⋮ Callias-type operators associated to spectral triples ⋮ Index theory of chiral unitaries and split-step quantum walks ⋮ Spectral localization for semimetals and Callias operators ⋮ The unbounded Kasparov product by a differentiable module ⋮ Spectral flows of Toeplitz operators and bulk-edge correspondence ⋮ The APS-index and the spectral flow

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