Cohomology rings of toric varieties assigned to cluster quivers: the case of unioriented quivers of type A

Frederic Chapoton

The theory of cluster algebras of S. Fomin and A. Zelevinsky has assigned a fan to each Dynkin diagram. Then A. Buan, R. Marsh, M. Reineke, I. Reiten and G. Todorov have generalize…