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Homotopy Theoretic Classification of Symmetry Protected Phases

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arxiv 1708.04264 v1 pith:2KOZC7U6 submitted 2017-08-14 math.AT cond-mat.str-elhep-thmath-phmath.MP

Jonathan A. Campbell This is my paper · ORCID
classification math.ATcond-mat.str-elhep-thmath-phmath.MP
keywords homotopyclassificationnumberphasesprotectedsymmetrytheoreticalong
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We classify a number of symmetry protected phases using Freed-Hopkins' homotopy theoretic classification. Along the way we compute the low-dimensional homotopy groups of a number of novel cobordism spectra.

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  1. Global Structure in the Presence of a Topological Defect

    math-ph 2025-01 conditional novelty 6.0 of 10

    Characteristic structures on manifolds with codimension-2 defects are translated into twisted spin bordism, low-degree groups are computed, and a Pontryagin-Thom obstruction to breaking Z/2 higher-form symmetries is i...

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