Spectral flows associated to flux tubes

DOI10.1007/s00023-014-0394-5zbMath1333.81448arXiv1405.2054OpenAlexW2012701736MaRDI QIDQ5962765

Giuseppe De Nittis, Hermann Schulz-Baldes

Publication date: 23 February 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2054

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Many-body theory; quantum Hall effect (81V70)

Related Items (16)

Index pairings in presence of symmetries with applications to topological insulators ⋮ Topological insulators from the perspective of non-commutative geometry and index theory ⋮ The KO-valued spectral flow for skew-adjoint Fredholm operators ⋮ Topology in shallow-water waves: a spectral flow perspective ⋮ Bulk-edge correspondence and the cobordism invariance of the index ⋮ Dynamical Abelian anyons with bound states and scattering states ⋮ Spectral flow for skew-adjoint Fredholm operators ⋮ Quantization of edge currents along magnetic interfaces: a \(K\)-theory approach ⋮ The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors ⋮ On ℤ2-indices for ground states of fermionic chains ⋮ The non-commutative topology of two-dimensional dirty superconductors ⋮ The \(K\)-theoretic bulk-edge correspondence for topological insulators ⋮ The ℤ2 index of disordered topological insulators with time reversal symmetry ⋮ Parity as Z2‐valued spectral flow ⋮ A non-commutative framework for topological insulators ⋮ Spectral flow of monopole insertion in topological insulators

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