Chern insulator boundary states are proven to follow corners and rough edges because the topological exponential map maps the bulk Chern class to a nonvanishing edge-translation invariant.
Connes.: Non-commutative differential geometry
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Edge-following topological states
Chern insulator boundary states are proven to follow corners and rough edges because the topological exponential map maps the bulk Chern class to a nonvanishing edge-translation invariant.