10 citations · 12 across the 8 of their papers we have counts for
10 papers
Cluster scattering diagrams via quiver moduli and tight gradings
Amanda Burcroff, Kyungyong Lee, Lang Mou +2
We study rank-2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver-the…
Mutations of quivers with 2-cycles
Fang Li, Siyang Liu, Lang Mou +1
We develop a mutation theory for quivers with oriented 2-cycles using a structure called a homotopy, defined as a normal subgroupoid of the quiver's fundamental groupoid. This fram…
Positivity of generalized cluster scattering diagrams
Amanda Burcroff, Kyungyong Lee, Lang Mou
We introduce a new class of combinatorial objects, named tight gradings, which are certain nonnegative integer-valued functions on maximal Dyck paths. Using tight gradings, we deri…
Scattering diagrams, tight gradings, and generalized positivity
Amanda Burcroff, Kyungyong Lee, Lang Mou
In 2013, Lee, Li, and Zelevinsky introduced combinatorial objects called compatible pairs to construct the greedy bases for rank-2 cluster algebras, consisting of indecomposable po…
Generic bases of skew-symmetrizable affine type cluster algebras
Lang Mou, Xiuping Su
Geiss, Leclerc and Schröer introduced a class of 1-Iwanaga-Gorenstein algebras associated to symmetrizable Cartan matrices with acyclic orientations, generalizing the path alge…
Gentle algebras arising from surfaces with orbifold points, Part II: Locally free Caldero-Chapoton functions
Daniel Labardini-Fragoso, Lang Mou
We prove that in the skew-symmetrizable cluster algebras associated by Felikson-Shapiro-Tumarkin to unpunctured surfaces with orbifold points of order and a specific choice of…
Locally free Caldero-Chapoton functions via reflections
Lang Mou
We study the reflections of locally free Caldero-Chapoton functions associated to representations of Geiss-Leclerc-Schröer's quivers with relations for symmetrizable Cartan matrice…
Gentle algebras arising from surfaces with orbifold points of order 3, Part I: scattering diagrams
Daniel Labardini-Fragoso, Lang Mou
To each triangulation of any surface with marked points on the boundary and orbifold points of order three, we associate a quiver (with loops) with potential whose Jacobian algebra…
Scattering diagrams for generalized cluster algebras
Lang Mou
We construct scattering diagrams for Chekhov-Shapiro's generalized cluster algebras where exchange polynomials are factorized into binomials, generalizing the cluster scattering di…
Scattering diagrams of quivers with potentials and mutations
Lang Mou
For a quiver with non-degenerate potential, we study the associated stability scattering diagram and how it changes under mutations. We show that under mutations the stability scat…