Quantum curves and topological recursion
Mathematical Physics
2015-02-17 v1 Algebraic Geometry
math.MP
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.1502.04394,
title = {Quantum curves and topological recursion},
author = {Paul Norbury},
journal= {arXiv preprint arXiv:1502.04394},
year = {2015}
}
Comments
This article arose out of the Banff workshop Quantum Curves and Quantum Knot Invariants. Comments welcome. 20 pages, 1 figure