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Quantum Curves in the Context of Symplectic Duality

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arxiv 2504.14924 v1 pith:5IG7KARE submitted 2025-04-21 math-ph hep-thmath.AGmath.MP

Quantum Curves in the Context of Symplectic Duality

classification math-ph hep-thmath.AGmath.MP
keywords dualitygeneralizationsprogressquantumrecentrecursionsymplectictopological
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss how to use the recent progress in understanding of the $x$-$y$ duality and symplectic duality in the theory of topological recursion and its generalizations in order to efficiently compute the quantum spectral curve operators for the wave functions with arbitrary base points. The paper also contains an overview of recent generalizations of the setup of topological recursion prompted by the progress in understanding the $x$-$y$ duality.

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Cited by 1 Pith paper

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  1. Universal Correlators on Exponentially Ramified Spectral Curves

    math-ph 2026-07 conditional novelty 6.0

    Generalized topological recursion extends to spectral curves with essential singularities by replacing residues at the essential point with residues at ordinary meromorphic points.