#invertible topological phases

topicinvertible topological phases

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hep-th2026

Bosonic SPT and invertible phases and its relation to Steenrod's problem

Shota Saito, Yuji Tachikawa, Yi Zhang

The paper systematically studies bosonic invertible and symmetry‑protected topological phases, showing that beyond‑cohomology phenomena first appear as a mod‑3 effect and linking t…