5 problems
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The on-siteability conjecture for finite abelian symmetries and SRE MMIS
On-siteability conjecture. A finite abelian symmetry has an SRE MMIS if and only if it is on-siteable.
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The anomaly obstruction conjecture for invertible 2d states
Anomaly obstruction conjecture. A nonzero 2d anomaly index should obstruct the existence of -invariant invertible 2d states.
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Internal-symmetry homotopy classification conjecture for topological phases
Internal-symmetry classification conjecture. The classification of SPT or SET topological phases in dimensions with internal symmetry is given by homotopy classes of maps
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Layered internal-symmetry description of crystalline topological phases
Layered-phase conjecture. Crystalline topological phases should be captured by layers of -dimensional internal-symmetry topological phases arranged in some spatial configuration…
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Classification of 2+1D topological and SPT orders by categorical triples
Let be a symmetry category, let be a non-degenerate unitary braided fusion category over , let be a modular extension of , and let be the central ch…