Quivers and curves in higher dimension
arXiv:2308.07270 · doi:10.1090/tran/9232
Abstract
We prove a correspondence between Donaldson-Thomas invariants of quivers with potential having trivial attractor invariants and genus zero punctured Gromov-Witten invariants of holomorphic symplectic cluster varieties. The proof relies on the comparison of the stability scattering diagram, describing the wall-crossing behavior of Donaldson-Thomas invariants, with a scattering diagram capturing punctured Gromov-Witten invariants via tropical geometry.
38 pages, 3 figures. Final version published in Transactions of the AMS