ABSTRACT: The local Gromov-Witten theory of curves studied by Bryan and Pandharipande revealed strong structural results for the local GW invariants, which were later used by Ionel and Parker in the proof of the Gopakumar-Vafa conjecture. In this talk I will report on a joint work in progress with Eleny Ionel on the extension of these results to the real setting. Similarly to the classical case, we obtain a complete solution in terms of representation theoretic data using the formalism of an extended Klein TQFT.