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Topological recursion with hard edges

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arxiv 1702.08631 v2 pith:TWMJOVRH submitted 2017-02-28 math.AG math-phmath.MP

Leonid Chekhov , Paul Norbury This is my paper · ORCID
classification math.AGmath-phmath.MP
keywords spectralarisecurvescopiesdecompositionedgesfunctionhard
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abstract

We prove a Givental type decomposition for partition functions that arise out of topological recursion applied to spectral curves. Copies of the Konstevich-Witten KdV tau function arise out of regular spectral curves and copies of the Brezin-Gross-Witten KdV tau function arise out of irregular spectral curves. We present the example of this decomposition for the matrix model with two hard edges and spectral curve $(x^2-4)y^2=1$

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  1. Quantum Curves in the Context of Symplectic Duality

    math-ph 2025-04 conditional novelty 6.0 of 10

    Quantum spectral curve operators for arbitrary base points can be derived by applying x-y and symplectic duality transformations to simpler spectral curves.

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