From topological recursion to wave functions and PDEs quantizing hyperelliptic curves

Starting from loop equations, we prove that the wave functions constructed from topological recursion on families of degree $2$ spectral curves with a global involution satisfy a system of partial differential equations, whose equations can be seen as quantizations of the original spectral cu...

Full description

Bibliographic Details
Main Authors: Bertrand Eynard, Elba Garcia-Failde
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423000968/type/journal_article