Bases for cluster algebras from surfaces Page 1 COMPOSITIO MATHEMATICA Bases for
cluster algebras from surfaces Gregg Musiker, Ralf Schiffler and Lauren Williams …

We apply our previous work on cluster characters for Hom-infinite cluster categories to the
theory of cluster algebras. We give a new proof of Conjectures 5.4, 6.13, 7.2, 7.10 and 7.12 …

Inspired by recent work of Geiss–Leclerc–Schröer, we use Hom-finite cluster categories to
give a good candidate set for a basis of (upper) cluster algebras with coefficients arising …

A new construction of the associahedron was recently given by Arkani-Hamed, Bai, He, and
Yan in connection with the physics of scattering amplitudes. We show that their construction …

To each tagged triangulation of a surface with marked points and non-empty boundary we
associate a quiver with potential in such a way that whenever we apply a flip to a tagged …

Let Q be a Euclidean quiver. Using friezes in the sense of Assem–Reutenauer–Smith, we
provide an algorithm for computing the (canonical) cluster character associated with any …

Motivated by the representation theory of quivers with potential introduced by Derksen,
Weyman and Zelevinsky and by work of Caldero and Chapoton, who gave explicit formulae …

We generalize the construction of the bracelet and bangle bases defined in [36] and the
band basis defined in [43] to cluster algebras arising from orbifolds. We prove that the …

Let Q be an acyclic quiver. We introduce the notion of generic variables for the coefficient-
free acyclic cluster algebra A (Q). We prove that the set G (Q) of generic variables contains …

We provide a technique to compute the Euler–Poincaré characteristic of a class of projective
varieties called quiver Grassmannians. This technique applies to quiver Grassmannians …