Quivers and curves in higher dimension

Author:

Hülya Argüz, Pierrick Bousseau

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), High Energy Physics - Theory (hep-th), Symplectic Geometry (math.SG)

journal:

date:

2023-08-13 16:00:00

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.

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