Appears in collection : 2023 - T2 - WS2 - Higher structures in enumerative geometry

TQFT structures appear in relation with Gromov-Witten invariants in at least two separate occasions. In this talk I will explain how the Real Gromov-Witten theory of local 3-folds with base a Real curve gives rise to an extension of a 2d Klein TQFT. This gives strong implications for the structure of the invariants on any compact Calabi-Yau 3-fold with anti-symplectic involution.