3 papers
math.SG2026
Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms
Amanda Hirschi, Kai Hugtenburg
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 boun…
math.SG2026
Open-closed Deligne-Mumford field theories: construction
Amanda Hirschi, Kai Hugtenburg
Open-closed Deligne--Mumford field theories are chain-level field theories based on moduli spaces of stable curves with boundary. We associate to a relatively spin embedded Lagrang…
math.SG2026
Open-closed Deligne-Mumford field theories: geometric foundations
Amanda Hirschi, Kai Hugtenburg
We construct global Kuranishi charts for moduli spaces of pseudo-holomorphic maps of arbitrary genus with boundary on an embedded Lagrangian submanifold. We then build the geometri…