Gromov-Witten invariants and membrane indices of fivefolds via the topological vertex
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908913241161728 |
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| author | Schuler, Yannik |
| author_facet | Schuler, Yannik |
| contents | We conjecture the existence of almost integer invariants governing the all-genus equivariant Gromov-Witten theory of Calabi-Yau fivefolds with a torus action. We prove the conjecture for skeletal, locally anti-diagonal torus actions by establishing a vertex formalism evaluating the Gromov-Witten invariants via the topological vertex of Aganagic, Klemm, Marino and Vafa. We apply the formalism in several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24256 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gromov-Witten invariants and membrane indices of fivefolds via the topological vertex Schuler, Yannik Algebraic Geometry Mathematical Physics 14N35 (Primary), 14J81, 14N10, 05A15, 05E14 (Secondary) We conjecture the existence of almost integer invariants governing the all-genus equivariant Gromov-Witten theory of Calabi-Yau fivefolds with a torus action. We prove the conjecture for skeletal, locally anti-diagonal torus actions by establishing a vertex formalism evaluating the Gromov-Witten invariants via the topological vertex of Aganagic, Klemm, Marino and Vafa. We apply the formalism in several examples. |
| title | Gromov-Witten invariants and membrane indices of fivefolds via the topological vertex |
| topic | Algebraic Geometry Mathematical Physics 14N35 (Primary), 14J81, 14N10, 05A15, 05E14 (Secondary) |
| url | https://arxiv.org/abs/2603.24256 |