Bulk-edge correspondence and the cobordism invariance of the index

Abstract

We show that the bulk-edge correspondence for two-dimensional type A and type AII topological insulators follows directly from the cobordism invariance of the index.

v2: section 7 added, 27 pages, 4 figures, final version

References in corpus (4)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• The $K$-theoretic bulk-edge correspondence for topological insulators
• The bulk-edge correspondence for the quantum Hall effect in Kasparov theory

Cited by in corpus (3)

• Topological invariants and corner states for Hamiltonians on a three-dimensional lattice
• Chiral Flow in One-dimensional Floquet Topological Insulators
• Homological bulk-edge correspondence for Weyl semimetal