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Anyonic topological order in twisted equivariant differential (TED) K-theory

Anyonic topological order in twisted equivariant differential (TED) K-theory

While the classification of non-interacting crystalline topological insulator phases by equivariant K-theory has become widely accepted, its generalization to anyonic interacting phases -- hence to phases with topologically ordered ground states supporting topological braid quantum gates -- has remained wide open. On the contrary, the success of K-theory with classifying …