DOI10.1007/978-3-319-29351-6zbMath1342.82002arXiv1510.08744OpenAlexW3101118761MaRDI QIDQ256930
Hermann Schulz-Baldes, Emil Prodan
Publication date: 11 March 2016
Published in: Mathematical Physics Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.08744
A \(\mathbb{Z}_2\)-topological index for quasi-free fermions ⋮
Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians ⋮
The index theorem of lattice Wilson-Dirac operators via higher index theory ⋮
Winding number statistics of a parametric chiral unitary random matrix ensemble* ⋮
Locally equivalent quasifree states and index theory ⋮
T-duality simplifies bulk-boundary correspondence: the noncommutative case ⋮
Topology of Fermi surfaces and anomaly inflows ⋮
Notes on topological insulators ⋮
Generalized Connes–Chern characters inKK-theory with an application to weak invariants of topological insulators ⋮
Tight-binding reduction and topological equivalence in strong magnetic fields ⋮
Topological insulators from the perspective of non-commutative geometry and index theory ⋮
A groupoid approach to interacting fermions ⋮
Unnamed Item ⋮
Universal edge transport in interacting Hall systems ⋮
Topological boundary invariants for Floquet systems and quantum walks ⋮
Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases ⋮
Ubiquity of conical points in topological insulators ⋮
Topology in shallow-water waves: a violation of bulk-edge correspondence ⋮
A many-body index for quantum charge transport ⋮
Fu-Kane-Mele monopoles in semimetals ⋮
The tenfold way redux: Fermionic systems with \(N\)-body interactions ⋮
Non-commutative Chern numbers for generic aperiodic discrete systems ⋮
Topological invariants for interface modes ⋮
Cyclic cohomology for graded \(C^{\ast,r}\)-algebras and its pairings with van Daele \(K\)-theory ⋮
The cohomology invariant for class DIII topological insulators ⋮
Efficient computation of theW3topological invariant and application to Floquet–Bloch systems ⋮
Local disorder, topological ground state degeneracy and entanglement entropy, and discrete anyons ⋮
Index theory and topological phases of aperiodic lattices ⋮
Topology in shallow-water waves: a spectral flow perspective ⋮
Crystallographic T-duality ⋮
Bulk-edge correspondence and the cobordism invariance of the index ⋮
Equivalence of electric, magnetic, and electromagnetic Chern numbers for topological photonic crystals ⋮
Edge-following topological states ⋮
The topological classification of one-dimensional symmetric quantum walks ⋮
Wannier functions and ℤ2 invariants in time-reversal symmetric topological insulators ⋮
An elementary rigorous proof of bulk-boundary correspondence in the generalized Su-Schrieffer-Heeger model ⋮
Approximate symmetries and conservation laws in topological insulators and associated \(\mathbb{Z}\)-invariants ⋮
Global topology of Weyl semimetals and Fermi arcs ⋮
Spectral Flow Argument Localizing an Odd Index Pairing ⋮
The Cayley transform in complex, real and graded K-theory ⋮
Good Wannier bases in Hilbert modules associated to topological insulators ⋮
Chiral Floquet systems and quantum walks at half-period ⋮
Dimensional reduction and scattering formulation for even topological invariants ⋮
The topology of mobility-gapped insulators ⋮
Operators, Algebras and Their Invariants for Aperiodic Tilings ⋮
Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1--7, 2017 ⋮
Spectral flow for skew-adjoint Fredholm operators ⋮
Edge states in ordinary differential equations for dislocations ⋮
Some remarks on $\mathrm{K}_0$ of noncommutative tori ⋮
Quantization of edge currents along magnetic interfaces: a \(K\)-theory approach ⋮
Topological edge states for disordered bosonic systems ⋮
The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors ⋮
The spectral localizer for semifinite spectral triples ⋮
Coarse geometry and topological phases ⋮
Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices ⋮
On ℤ2-indices for ground states of fermionic chains ⋮
Rational indices for quantum ground state sectors ⋮
Topological insulators and the Kane–Mele invariant: Obstruction and localization theory ⋮
Skew localizer and \(\mathbb{Z}_2\)-flows for real index pairings ⋮
The non-commutative topology of two-dimensional dirty superconductors ⋮
Toeplitz Extensions in Noncommutative Topology and Mathematical Physics ⋮
T-duality and the bulk-boundary correspondence ⋮
Bulk-edge correspondence for two-dimensional Floquet topological insulators ⋮
Controlled topological phases and bulk-edge correspondence ⋮
Braiding flux-tubes in topological quantum and classical lattice models from class-D ⋮
Classification of topological invariants related to corner states ⋮
The \(K\)-theoretic bulk-boundary principle for dynamically patterned resonators ⋮
The \(K\)-theoretic bulk-edge correspondence for topological insulators ⋮
Two-dimensional time-reversal-invariant topological insulators via Fredholm theory ⋮
The noncommutative geometry of the Landau Hamiltonian: metric aspects ⋮
T-duality simplifies bulk-boundary correspondence: some higher dimensional cases ⋮
On spectral flow and Fermi arcs ⋮
Chiral vector bundles ⋮
The bulk-edge correspondence for disordered chiral chains ⋮
The Schrödinger formalism of electromagnetism and other classical waves -- how to make quantum-wave analogies rigorous ⋮
Topological invariants and corner states for Hamiltonians on a three-dimensional lattice ⋮
A non-commutative framework for topological insulators ⋮
An elementary proof and detailed investigation of the bulk-boundary correspondence in the generic two-band model of Chern insulators ⋮
Eigenvalue crossings in Floquet topological systems ⋮
`Real' Gerbes and Dirac cones of topological insulators ⋮
The bulk-edge correspondence in three simple cases ⋮
Almost commuting self-adjoint matrices: The real and self-dual cases ⋮
Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals ⋮
Chern numbers as half-signature of the spectral localizer ⋮
Continuous bulk and interface description of topological insulators ⋮
Bulk spectrum and K-theory for infinite-area topological quasicrystals ⋮
Quantum walks: Schur functions meet symmetry protected topological phases ⋮
The bulk-edge correspondence for continuous honeycomb lattices ⋮
Spectral flow of monopole insertion in topological insulators ⋮
Defect modes for dislocated periodic media ⋮
Bulk-boundary correspondence for disordered free-fermion topological phases ⋮
Toeplitz operators on concave corners and topologically protected corner states ⋮
Spectral flows of Toeplitz operators and bulk-edge correspondence ⋮
The spectral localizer for even index pairings ⋮
Particle–hole symmetries in condensed matter ⋮
Computing Edge States without Hard Truncation ⋮
On the Bott index of unitary matrices on a finite torus ⋮
Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori ⋮
The bulk-edge correspondence for continuous dislocated systems ⋮
Absolutely continuous edge spectrum of Hall insulators on the lattice
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