Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms

2026/05/26 by Amanda Hirschi, Kai Hugtenburg · 1 voice
Mathematics · #math.SG

paper · pdf

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 \citeHH25,HH26 and the algebraic framework of \citeST21. 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.

Citations

• Open-closed Deligne-Mumford field theories: construction
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Discussions

• Amanda Hirschi, Kai Hugtenburg: Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms https://arxiv.org/abs/2605.27122 https://arxiv.org/pdf/2605.27122 https://arxiv.org/html/2605.2712 [bsky, 0 points, 0 comments]

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