Bulk-edge correspondence for fractional quantum Hall systems is realized as relative higher gauge theory from the complex Hopf fibration, geometrically engineered via M2/M5-branes and TED Cohomotopy flux quantization.
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A simplicial set sOb_bullet(M) of Hamiltonian forms in n-plectic geometry is shown to be a Kan complex, supplying an n-groupoid model for observables and a categorified pre-n-Hilbert space via recursive inner products.
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Bulk-Edge Correspondence via Higher Gauge Theory
Bulk-edge correspondence for fractional quantum Hall systems is realized as relative higher gauge theory from the complex Hopf fibration, geometrically engineered via M2/M5-branes and TED Cohomotopy flux quantization.
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A Simplicial Approach to Higher Geometric Quantization
A simplicial set sOb_bullet(M) of Hamiltonian forms in n-plectic geometry is shown to be a Kan complex, supplying an n-groupoid model for observables and a categorified pre-n-Hilbert space via recursive inner products.