Paquette and Y {\i} ld {\i} r {\i} m recently introduced cluster-type categories for completed
infinity-gons, which are discs with an infinite closed set of marked points on their boundary …

We introduce mutation along infinite admissible sequences for infinitely marked surfaces,
that is surfaces with infinitely many marked points on the boundary. We show that mutation …

Using skew-symmetric matrices of infinite rank, the unfolding approach is extended from
skew-symmetrizable matrices to acyclic sign-skew-symmetric matrices. Applying this …

We study the cluster automorphism group of a skew-symmetric cluster algebra with
geometric coefficients. We introduce the notion of gluing free cluster algebra, and show that …

We study rooted cluster algebras and rooted cluster morphisms which were introduced in [1]
recently and cluster structures in 2-Calabi–Yau triangulated categories. An example of …

We extend based cluster algebras from finite ranks to infinite ranks. By extending (quantum)
cluster algebras associated with double Bott-Samelson cells, we recover infinite rank cluster …

We generalise surface cluster algebras to the case of infinite surfaces where the surface
contains finitely many accumulation points of boundary marked points. To connect different …

We provide a graded and quantum version of the category of rooted cluster algebras
introduced by Assem, Dupont and Schiffler and show that every graded quantum cluster …

We construct Grassmannian categories of infinite rank, providing an infinite analogue of the
Grassmannian cluster categories introduced by Jensen, King, and Su. Each Grassmannian …

We construct Grassmannian categories of infinite rank, providing an infinite analogue of the
Grassmannian cluster categories introduced by Jensen, King, and Su. Each Grassmannian …