Klein TQFT and real Gromov-Witten invariants

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. The latter theory is furthermore semi-simple which allows for complete computation from the knowledge of a few basic elements which can be calculated explicitly. As a consequence of the explicit expressions we find in the Calabi-Yau case we obtain the expected GV formula and relation to SO/Sp Chern-Simons theory.