For spectrally gapped, time-reversal-invariant, exponentially local 2D Hamiltonians, the Z2 bulk index equals the mod-2 index of an edge Fredholm operator.
v., Dorda, G., and Pepper, M.: New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resis tance
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Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory
For spectrally gapped, time-reversal-invariant, exponentially local 2D Hamiltonians, the Z2 bulk index equals the mod-2 index of an edge Fredholm operator.