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arXiv · 2605.27122

Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms

Amanda Hirschi·Kai Hugtenburg
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Abstract

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.

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Amanda Hirschi, Kai Hugtenburg. 2026-05-26. Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms. https://arxiv.org/abs/2605.27122

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