Floer potentials, cluster algebras and quiver representations

2023/09/27 by Albers, Peter, Bertozzi, Maria, Reineke, Markus
#16G20 (Secondary) #53D12 (Primary) 13F60 #FOS: Mathematics #Representation Theory (math.RT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2309.16009

Abstract

We use cluster algebras to interpret Floer potentials of monotone Lagrangian tori in toric del Pezzo surfaces as cluster characters of quiver representations.

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