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math.RT2026
Cluster Categorification of Rank 2 Webs
Ian Le, Emine Yıldırım
The homogeneous coordinate ring of the Grassmannian has a well-known cluster structure. There is a categorification of this cluster structure via a category of modul…
math.RT2024
Cluster structures on braid varieties
Roger Casals, Eugene Gorsky, Mikhail Gorsky +3
We show the existence of cluster -structures and cluster Poisson structures on any braid variety, for any simple Lie group. The construction is achieved via weave calc…