| Résume | In this talk, I discuss a refinement of the open Gromov-Witten invariants of Ekholm and Shende that take values in the so-called worldsheet skein module of a relatively spin Maslov zero Lagrangian in a symplectic Calabi-Yau 3-fold. I will then focus on the GW-invariants associated to Lagrangian fillings of the Legendrian conormal of the Hopf link in the cotangent bundle of S^3, which are closely related to the HOMFLYPT invariants of the Hopf link. I will explain how the GW-partition function can be viewed as the unique morphism from a "worldsheet skein D-module", and I will show that a version of the Gopakumar-Vafa formula holds for these Lagrangians. |
