Absolute and relative invariants for low-dimensional topological insulators

arXiv:2609.32442 · math-ph, cond-mat.mes-hall, math.MP · Submitted 2026-09-26 · Read on arXiv

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

Submitted: 2026-09-26

Updated: 2026-09-26

Terminology

• Hilbert Space — 74× in this paper · explained in 2 episodes
• Chern Number — 37× in this paper · explained in 4 episodes
• Holonomy — 5× in this paper · explained in 2 episodes
• Additivity — 4× in this paper · explained in 1 episode
• Quantization — 3× in this paper · explained in 12 episodes
• Spectral Gap — 3× in this paper · explained in 5 episodes
• Berry Curvature — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Quantum Physics — 1× in this paper · explained in 11 episodes
• Redundancy — 1× in this paper · explained in 2 episodes
• Topological Defects — 1× in this paper · explained in 2 episodes
• Topological Order — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Topological Classification of Insulators: II. Quasi-Two-Dimensional Locality
• Topological Classification of Insulators: III. Non-interacting Spectrally-Gapped Systems in All Dimensions
• The Zak phase in topologically insulating chains: invariants and limitations

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