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math.CO2022
Leclerc's conjecture on a cluster structure for type A Richardson varieties
Khrystyna Serhiyenko, Melissa Sherman-Bennett
Leclerc constructed a conjectural cluster structure on Richardson varieties in simply laced types using cluster categories. We show that in type A, his conjectural cluster structur…
math.CO2022★ 3 cited
Braid variety cluster structures, I: 3D plabic graphs
Pavel Galashin, Thomas Lam, Melissa Sherman-Bennett +1
We introduce -dimensional generalizations of Postnikov's plabic graphs and use them to establish cluster structures for type braid varieties. Our results include known clust…