36 citations · 99 across the 16 of their papers we have counts for
6 papers · 1 filter
Valuative independence and cluster theta reciprocity
Man-Wai Cheung, Timothy Magee, Travis Mandel +1
We prove that theta functions constructed from positive scattering diagrams satisfy valuative independence. That is, for certain valuations , we have $\oper…
Newton--Okounkov bodies and minimal models for cluster varieties
Lara Bossinger, Man-Wai Cheung, Timothy Magee +1
Let be a (partial) minimal model of a scheme with a cluster structure. Under natural assumptions, for every choice of seed we associate a Newton--Okounkov body to every div…
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…
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…
Faithful realizability of tropical curves
Man-Wai Cheung, Lorenzo Fantini, Jennifer Park +1
We study whether a given tropical curve in can be realized as the tropicalization of an algebraic curve whose non-archimedean skeleton is faithfully represented…