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Calabi–Yau properties of Postnikov diagrams

Calabi–Yau properties of Postnikov diagrams

Abstract We show that the dimer algebra of a connected Postnikov diagram in the disc is bimodule internally $3$ -Calabi–Yau in the sense of the author’s earlier work [43]. As a consequence, we obtain an additive categorification of the cluster algebra associated to the diagram, which (after inverting frozen variables) …