Weighted cycles on weaves form a Laurent polynomial algebra related to cluster variables with compatible mutations.
[CGGS24] Roger Casals, Eugene Gorsky, Mikhail Gorsky, and J os´ e Simental
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Using Hom-infinite Frobenius categorification of the Grassmannian, the authors determine g-vectors of Plücker coordinates for the triangular seed and express DT F-polynomials in terms of 3D Young diagrams, giving a new proof of Weng's theorem.
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Weighted Cycles on Weaves
Weighted cycles on weaves form a Laurent polynomial algebra related to cluster variables with compatible mutations.
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$g$-vectors and $DT$-$F$-polynomials for Grassmannians
Using Hom-infinite Frobenius categorification of the Grassmannian, the authors determine g-vectors of Plücker coordinates for the triangular seed and express DT F-polynomials in terms of 3D Young diagrams, giving a new proof of Weng's theorem.