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I'll explain how to define counts of all-genus curves with Lagrangian boundary
conditions in Calabi-Yau 3-folds. Then I'll do an example: the conifold with a single
Aganagic-Vafa 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
skein-valued quantization of the mirror curve. Said equation gives a recursion which
can be solved explicitly. [This talk presents joint work with Tobias Ekholm.]
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