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math.RT2025
Dominance regions for affine cluster algebras
Nathan Reading, Dylan Rupel, Salvatore Stella
We determine dominance regions associated to cluster algebras of affine type. In the most interesting cases, the dominance region is a line segment, which we describe explicitly. M…
math.CO2025
Noncrossing arc diagrams of type B
Emily Barnard, Nathan Reading, Ashley M. Tharp
Noncrossing arc diagrams are combinatorial models for permutations that encode information about lattice congruences of the weak order and about the associated discrete geometry. I…