3 citations · 3 across the 3 of their papers we have counts for
6 papers
Cluster structures for the singularity
Jenny August, Man-Wai Cheung, Eleonore Faber +2
We study a category of -graded MCM modules over the curve singularity and demonstrate it has infinite type cluster combinatorics. In part…
Algebraic and symplectic viewpoint on compactifications of two-dimensional cluster varieties of finite type
Man-Wai Mandy Cheung, Renato Vianna
In this article we explore compactifications of cluster varieties of finite type in complex dimension two. Cluster varieties can be viewed as the spec of a ring generated by theta…
Compactifications of cluster varieties and convexity
Man-Wai Cheung, Timothy Magee, Alfredo Nájera Chávez
In [GHKK18], Gross-Hacking-Keel-Kontsevich discuss compactifications of cluster varieties from "positive subsets" in the real tropicalization of the mirror. To be more precise, let…
Theta functions and quiver Grassmannians
Man-Wai Cheung
In this article, we use the relationship between cluster scattering diagrams and stability scattering diagrams to relate quiver representations with these diagrams. With a notion o…
The Model Orbit in
Man-Wai Cheung
In this article, we decompose the ring of regular functions on the nilpotent orbit of dimension 8 for the complex in which every irreducible representation of appears e…
Donaldson-Thomas invariants from tropical disks
Man-Wai Cheung, Travis Mandel
We prove that the quantum DT invariants associated to quivers with genteel potential can be expressed in terms of certain refined counts of tropical disks. This is based on a quant…