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