A classification scheme for topological phases is defined via homotopy classes of sections of pure-state fiber bundles over the Weyl C*-algebra, recovering K-theory results for symmetry classes A and AI.
arXiv preprint arXiv:2410.19287 , year=
2 Pith papers cite this work. Polarity classification is still indexing.
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Develops K-theoretic obstruction theory for linearizing QCA representations over arbitrary fields, extracting universal classes and computing homotopy types over point/line/plane in the complex unitary case.
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$K$-Theoretic Obstructions to Linearizing QCA Representations
Develops K-theoretic obstruction theory for linearizing QCA representations over arbitrary fields, extracting universal classes and computing homotopy types over point/line/plane in the complex unitary case.