Quivers and curves in higher dimension

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, describin...

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Veröffentlicht in:Transactions of the American Mathematical Society 2024-09
Hauptverfasser: Argüz, Hülya, Bousseau, Pierrick
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/9232