Vivek gave a talk, and talked about stuff during dinner.

• What you can do with skein-on-brane, and higher genus open Gromov-Witten invariant.

$\gdef\lcal{\mathcal L}$ Let $\lcal \In \C$ be a $2 \dim_\R$ Legendrian in a 5 dimensional contact manifold. Let $L_\infty = \lcal \times \R \In \C \times \R$ be corresponding Lagrangian in the symplectization. One can compute curves bounded by $L_\infty$ and Reeb chords.

The genus $0$ count is well-defined, but higher genus count is valued in skein.

Consider a capping. Liouville manifold $W$ of $C$. And non-exact Lagrangian $L$ of $\lcal$. Consider holomorphic curve, bounded by $L$. Maybe also with a Reeb chord at infinity.