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arXiv · 2308.07270

Quivers and curves in higher dimension

Hülya Argüz·Pierrick Bousseau
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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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Hülya Argüz, Pierrick Bousseau. 2023-08-14. Quivers and curves in higher dimension. https://doi.org/10.1090/tran%2F9232

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