Quivers and curves in higher dimension
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914054066405376 |
|---|---|
| author | Argüz, Hülya Bousseau, Pierrick |
| author_facet | Argüz, Hülya Bousseau, Pierrick |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07270 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quivers and curves in higher dimension Argüz, Hülya Bousseau, Pierrick Algebraic Geometry High Energy Physics - Theory Symplectic Geometry 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. |
| title | Quivers and curves in higher dimension |
| topic | Algebraic Geometry High Energy Physics - Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2308.07270 |