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4 papers · 2 filters
Cluster Automorphisms
Ibrahim Assem, Ralf Schiffler, Vasilisa Shramchenko
In this article, we introduce the notion of cluster automorphism of a given cluster algebra as a $\ZZ$-automorphism of the cluster algebra that sends a cluster to another and commu…
On the Cluster Category of a Marked Surface
Thomas Brüstle, Jie Zhang
We study in this paper the cluster category C(S,M) of a marked surface (S,M). We explicitly describe the objects in C(S,M) as direct sums of homotopy classes of curves in (S,M) and…
A homological interpretation of the transverse quiver Grassmannians
Giovanni Cerulli Irelli, Gregoire Dupont, Francesco Esposito
In recent articles, the investigation of atomic bases in cluster algebras associated to affine quivers led the second-named author to introduce a variety called transverse quiver G…
Generic cluster characters
G. Dupont
Let $\CC$ be a Hom-finite triangulated 2-Calabi-Yau category with a cluster-tilting object . Under a constructibility condition we prove the existence of a set $\mathcal G^T(\CC…