48 citations · 110 across the 13 of their papers we have counts for
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math-ph2021★ 6 cited
Invertible phases for mixed spatial symmetries and the fermionic crystalline equivalence principle
Arun Debray
Freed-Hopkins give a mathematical ansatz for classifying gapped invertible phases of matter with a spatial symmetry in terms of Borel-equivariant generalized homology. We propose a…
math-ph2018★ 4 cited
The low-energy TQFT of the generalized double semion model
Arun Debray
The generalized double semion (GDS) model, introduced by Freedman and Hastings, is a lattice system similar to the toric code, with a gapped Hamiltonian whose definition depends on…
math-ph2018★ 12 cited
The Arf-Brown TQFT of Pin Surfaces
Arun Debray, Sam Gunningham
The Arf-Brown invariant is an 8th root of unity associated to a surface equipped with a pin structure. In this note we investigate a certain fully extended…