A quantum occupied multiplet that factors locally over a sphere factors globally if and only if its second Chern number is divisible by the gcd of the two subsystem dimensions.
This gives the binary form of the projected-feature diagnostic [4, 5]
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Entangling Topological Invariants
A quantum occupied multiplet that factors locally over a sphere factors globally if and only if its second Chern number is divisible by the gcd of the two subsystem dimensions.