homotopy theory 1interacting systems 1k-theory 1symmetry-protected topological phases 1weak topological phases 1
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math-ph2026
Free to Interacting Map for Crystalline SPT Phases: Equivariance vs Crystalline Equivalence
Daniel Sheinbaum, Omar AntolÃn-Camarena
Freed and Hopkins developed an ansatz for classifying interacting SPT phases using invertible field theories with a natural Free to Interacting (FTI) map from free fermion phases.…
math-ph2026
Weak topological phases in the presence of interactions
Omar AntolÃn Camarena, Arun Debray, Cameron Krulewski +3
The paper classifies weak symmetry‑protected topological phases in dimensions 0–3 under short‑range interactions, using homotopy‑theoretic methods to identify which phases remain s…