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math.RT2025
Cluster structures via representation theory: cluster ensembles, tropical duality, cluster characters and quantisation
Jan E. Grabowski, Matthew Pressland
We develop a general theory of cluster categories, applying to a 2-Calabi-Yau extriangulated category and cluster-tilting subcategory satisfying only mi…
math.RT2025
Cluster categories for completed infinity-gons I: Categorifying triangulations
Ä°lke Ãanakçı, Martin Kalck, Matthew Pressland
Paquette and Yıldırım recently introduced triangulated categories of arcs in completed infinity-gons, which are discs with an infinite closed set of marked points on their bound…