Unramified Gromov-Witten and Gopakumar-Vafa invariants
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910790891601920 |
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| author | Nesterov, Denis |
| author_facet | Nesterov, Denis |
| contents | Kim, Kresch and Oh defined unramified Gromov-Witten invariants. For a threefold, Pandharipande conjectured that they are equal to Gopakumar-Vafa invariants (BPS invariants) in the case of Fano classes and primitive Calabi-Yau classes. We prove the conjecture using a wall-crossing technique. This provides an algebro-geometric construction of Gopakumar-Vafa invariants in these cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18398 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unramified Gromov-Witten and Gopakumar-Vafa invariants Nesterov, Denis Algebraic Geometry Mathematical Physics Symplectic Geometry Kim, Kresch and Oh defined unramified Gromov-Witten invariants. For a threefold, Pandharipande conjectured that they are equal to Gopakumar-Vafa invariants (BPS invariants) in the case of Fano classes and primitive Calabi-Yau classes. We prove the conjecture using a wall-crossing technique. This provides an algebro-geometric construction of Gopakumar-Vafa invariants in these cases. |
| title | Unramified Gromov-Witten and Gopakumar-Vafa invariants |
| topic | Algebraic Geometry Mathematical Physics Symplectic Geometry |
| url | https://arxiv.org/abs/2405.18398 |