Quantization of classical curves

Abstract

We discuss the relation between quantum curves (defined as solutions of equation $[P,Q]=\hslash$, where $P,Q$ are ordinary differential operators) and classical curves. We illustrate this relation for the case of quantum curve that corresponds to the $(p,q)$-minimal model coupled to 2D gravity.

10 pages, made some changes to the introduction part of previous submission

References in corpus (2)

• Invariants of algebraic curves and topological expansion
• Quantum curves

Cited by in corpus (1)

• Duality of 2D gravity as a local Fourier duality