Detecting local topology with the spectral localizer

arXiv:2506.14174 · math-ph, cond-mat.dis-nn, cond-mat.mes-hall, math.MP · Submitted 2025-06-17 · Read on arXiv

math-ph, cond-mat.dis-nn, cond-mat.mes-hall, math.MP

Submitted: 2025-06-17

Updated: 2026-09-23

Terminology

• Spectral Gap — 13× in this paper · explained in 5 episodes
• Chern Number — 7× in this paper · explained in 4 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Department of Energy — 1× in this paper
• Topological Order — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Classification of Fragile Topology Enabled by Matrix Homotopy

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