Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911720584249344 |
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| author | Hirschi, Amanda Hugtenburg, Kai |
| author_facet | Hirschi, Amanda Hugtenburg, Kai |
| contents | We construct open Gromov-Witten invariants in genus zero for arbitrary closed symplectic manifolds and embedded relatively spin Lagrangians, which are weakly unobstructed by a bounding cochain. This uses the foundational work of \cite{HH25,HH26} and the algebraic framework of \cite{ST21}. We prove the open WDVV relations and show that these invariants are independent of the choice of almost complex structure and under Hamiltonian isotopy. We also prove a relation between open Gromov-Witten invariants of cobordant Lagrangians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27122 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms Hirschi, Amanda Hugtenburg, Kai Symplectic Geometry 53D12, 53D45, 53D37 We construct open Gromov-Witten invariants in genus zero for arbitrary closed symplectic manifolds and embedded relatively spin Lagrangians, which are weakly unobstructed by a bounding cochain. This uses the foundational work of \cite{HH25,HH26} and the algebraic framework of \cite{ST21}. We prove the open WDVV relations and show that these invariants are independent of the choice of almost complex structure and under Hamiltonian isotopy. We also prove a relation between open Gromov-Witten invariants of cobordant Lagrangians. |
| title | Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms |
| topic | Symplectic Geometry 53D12, 53D45, 53D37 |
| url | https://arxiv.org/abs/2605.27122 |