Cluster varieties come in pairs: for any 𝒳 cluster variety there is an associated Fock–
Goncharov dual 𝒜 cluster variety. On the other hand, in the context of mirror symmetry …

We derive a Floer theoretical SYZ mirror for an equilateral and generic polygon space. The
disk potential function of the monotone torus fiber of the caterpillar bending system is …

We prove an equivalence between the superpotential defined via tropical geometry and
Lagrangian Floer theory for special Lagrangian torus fibres in del Pezzo surfaces …

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 …

A quiver algebra is a quotient of the path algebra of a directed graph by a two-sided ideal of
relations. It has very interesting and deep applications in gauge theory, representation …