Crossing with the circle in Dijkgraaf–Witten theory and applications to topological phases of matter

@article{Bullivant2021CrossingWT,
  title={Crossing with the circle in Dijkgraaf–Witten theory and applications to topological phases of matter},
  author={Alex Bullivant and Clement Delcamp},
  journal={Journal of Mathematical Physics},
  year={2021}
}
Given a fully extended topological quantum field theory, the “crossing with the circle” conditions establish that the dimension, or categorification thereof, of the quantum invariant assigned to a closed k-manifold Σ is equivalent to that assigned to the ( k + 1)-manifold [Formula: see text]. We compute in this paper these conditions for the 4-3-2-1 Dijkgraaf–Witten theory. In the context of the lattice Hamiltonian realization of the theory, the quantum invariants assigned to the circle and the… 
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