Quivers and curves in higher dimension
Algebraic Geometry
2025-09-26 v2 High Energy Physics - Theory
Symplectic Geometry
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.
Cite
@article{arxiv.2308.07270,
title = {Quivers and curves in higher dimension},
author = {Hülya Argüz and Pierrick Bousseau},
journal= {arXiv preprint arXiv:2308.07270},
year = {2025}
}
Comments
38 pages, 3 figures. Final version published in Transactions of the AMS