The non-commutative n-th Chern number

Abstract

The theory of the higher Chern numbers in the presence of strong disorder is developed. Sharp quantization and homotopy invariance conditions are provided. The relevance of the result to the field of strongly disordered topological insulators is discussed.

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Cited by in corpus (33)

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• Many-Body Topological and Skin States without Open Boundaries
• Virtual Topological Insulators with Real Quantized Physics
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• Index pairings in presence of symmetries with applications to topological insulators
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• Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases
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• Calculations of Chern number: equivalence of real-space and twisted-boundary-condition formulae
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• Index pairings for ${\mathbb{R}}^n$-actions and Rieffel deformations
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• Cyclic cocycles and quantized pairings in materials science
• Coarse geometric approach to topological phases: Invariants from real-space representations