I'll explain how to define counts of allgenus curves with Lagrangian boundary
conditions in CalabiYau 3folds. Then I'll do an example: the conifold with a single
AganagicVafa brane. Here I'll show a priori (i.e. without first computing the
invariants), that the partition function satisfies an operator equation, given by a
skeinvalued quantization of the mirror curve. Said equation gives a recursion which
can be solved explicitly. [This talk presents joint work with Tobias Ekholm.]
