3 problems

Let ${\bf c}$ be a feed cluster transformation, and distinguish the transformations that act trivially on the relevant classical feed data from those whose quantum cluster transfor…

Let ${\cal D}$ be the cluster double, with Langlands dual ${\cal D}^{\vee}$, and let ${\mathbb Z}_+\{S\}$ denote the semigroup of finitely supported nonnegative-integer-valued func…

The moduli space ${\cal X}_{G,\widehat S}$ carries a cluster ${\cal X}$-variety structure, and the construction in the paper assigns to $(G,\widehat S)$ an infinite-dimensional uni…