Quantum spectral curve

introduction

A quantum curve is a Schrodinger operator-like noncommutative analogue of a plane curve which encodes (quantum) enumerative invariants in a new and interesting way.
The Schrodinger operator annihilates a wave function which can be constructed using the WKB method, and conjecturally constructed in a rather different way via topological recursion.

Luu, Martin, and Albert Schwarz. ‘Fourier Duality of Quantum Curves’. arXiv:1504.01582 [hep-Th, Physics:math-Ph], 7 April 2015. http://arxiv.org/abs/1504.01582.
Norbury, Paul. ‘Quantum Curves and Topological Recursion’. arXiv:1502.04394 [math-Ph], 15 February 2015. http://arxiv.org/abs/1502.04394.
Gromov, Nikolay, Vladimir Kazakov, Sebastien Leurent, and Dmytro Volin. “Quantum Spectral Curve for Arbitrary State/operator in AdS$_5$/CFT$_4$.” arXiv:1405.4857 [hep-Th, Physics:math-Ph], May 19, 2014. http://arxiv.org/abs/1405.4857.