Positroid varieties and cluster algebras

Published 8 Jun 2019 in math.CO, math.RA, and math.RT | (1906.03501v2)

Abstract: We show that the coordinate ring of an open positroid variety coincides with the cluster algebra associated to a Postnikov diagram. This confirms conjectures of Postnikov, Muller--Speyer, and Leclerc, and generalizes results of Scott and Serhiyenko--Sherman-Bennett--Williams.

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