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Ramifications of Hurwitz theory, KP integrability and quantum curves

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arxiv 1512.07026 v3 pith:BZPRGOSM submitted 2015-12-22 math-ph hep-thmath.AGmath.COmath.MP

A. Alexandrov , D. Lewanski , S. Shadrin This is my paper · ORCID
classification math-phhep-thmath.AGmath.COmath.MP
keywords curveshurwitznumbersquantumintegrabilitymonotonederivationderive
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In this paper we revisit several recent results on monotone and strictly monotone Hurwitz numbers, providing new proofs. In particular, we use various versions of these numbers to discuss methods of derivation of quantum spectral curves from the point of view of KP integrability and derive new examples of quantum curves for the families of double Hurwitz numbers.

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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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