To any quiver with relations we associate a consistent scattering diagram taking values in
the motivic Hall algebra of its category of representations. We show that the chamber …

It is known that many (upper) cluster algebras possess different kinds of good bases which
contain the cluster monomials and are parametrized by the tropical points of cluster Poisson …

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 quantum …

We further develop the asymptotic analytic approach to the study of scattering diagrams. We
do so by analyzing the asymptotic behavior of Maurer–Cartan elements of a (dg) Lie algebra …

In this article, we give explicit calculations for the family Floer mirrors of some non-compact
Calabi-Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel for …

We show that the consistent completion of an initial scattering diagram in $ M_ {\mathbb {R}}
$(for a finite rank lattice $ M $) can be expressed quite generally in terms of the Jeffrey …

In this dissertation, we study the phenomenon of wall-crossing structures in cluster algebras
of Fomin and Zelevinsky, with examples including cluster scattering diagrams of Gross …

In this article, we give explicit calculations for the family Floer mirrors of some non-compact
Calabi-Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel …