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• W2963030103 abstract "The homogeneous coordinate ring of the Grassmannian Grk,n has a cluster structure defined in terms of planar diagrams known as Postnikov diagrams. The cluster corresponding to such a diagram consists entirely of Plücker coordinates. We introduce a twist map on Grk,n, related to the Berenstein–Fomin–Zelevinsky-twist, and give an explicit Laurent expansion for the twist of an arbitrary Plücker coordinate in terms of the cluster variables associated with a fixed Postnikov diagram. The expansion arises as a (scaled) dimer partition function of a weighted version of the bipartite graph dual to the Postnikov diagram, modified by a boundary condition determined by the Plücker coordinate. We also relate the twist map to a maximal green sequence." @default.
• W2963030103 created "2019-07-30" @default.
• W2963030103 creator A5022202150 @default.
• W2963030103 creator A5060699033 @default.
• W2963030103 date "2015-12-30" @default.
• W2963030103 modified "2023-10-16" @default.
• W2963030103 title "Twists of Plücker Coordinates as Dimer Partition Functions" @default.
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• W2963030103 doi "https://doi.org/10.1007/s00220-015-2493-7" @default.
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