Classification of Fragile Topology Enabled by Matrix Homotopy

arXiv:2503.03948 · cond-mat.mes-hall, math-ph, math.MP, physics.optics · Submitted 2025-03-05 · Read on arXiv

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

Submitted: 2025-03-05

Updated: 2025-03-05

Terminology

• Robustness — 1× in this paper · explained in 5 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes

Sources

• Reentrant topological phases and spin density wave induced by 1D moir'e potentials
• Tutorial: Computing topological invariants in two-dimensional photonic crystals
• K-Theory and Pseudospectra for Topological Insulators
• The spectral localizer for even index pairings
• A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements

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