• Corpus ID: 119695847

Homotopy Theoretic Classification of Symmetry Protected Phases

@article{Campbell2017HomotopyTC,
  title={Homotopy Theoretic Classification of Symmetry Protected Phases},
  author={Jonathan A. Campbell},
  journal={arXiv: Algebraic Topology},
  year={2017}
}
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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Commutative d-torsion K-theory and its applications
  • C. Okay
  • Mathematics, Physics
    Journal of Mathematical Physics
  • 2021
Commutative d-torsion K-theory is a variant of topological K-theory constructed from commuting unitary matrices whose order divides d. Such matrices appear as solutions of linear constraint systems
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We implement an extended version of reflection positivity (Wick-rotated unitarity) for invertible topological quantum field theories and compute the abelian group of deformation classes using stable
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