  This is a survey article describing the relationship between quantum curves
and topological recursion. A quantum curve is a Schr\"odinger operator-like
noncommutative analogue of a plane curve which encodes (quantum) enumerative
invariants in a new and interesting way. The Schr\"odinger operator annihilates
a wave function which can be constructed using the WKB method, and
conjecturally constructed in a rather different way via topological recursion.
