2 problems

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The conjectured positive-part formula for the $_2$ edge index
Positive-part edge-index conjecture. In the spectral gap regime,
Conjecturesolvededge-indices integer-quantum-hall-effect topological-insulatorsarXiv posted 2 days ago
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The conjecture on absolutely continuous IQHE edge spectrum in a mobility gap
Let $\hat{H}$ be the edge Hamiltonian for an integer quantum Hall effect (IQHE) system, and let $\Delta$ be the mobility-gap energy interval. Absolutely continuous edge-spectrum co…
Conjecturesolvededge-states integer-quantum-hall-effect mobility-gapsarXiv posted 2 days ago

The conjectured positive-part formula for the 2_22​ edge index