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Topological recursion, symplectic duality, and generalized fully simple maps
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abstract
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the $n$-point functions produced by the topological recursion on these curves via the $n$-point functions on the original curve. As a corollary, we prove topological recursion for the generalized fully simple maps generating functions.
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Cited by 1 Pith paper
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Quantum Curves in the Context of Symplectic Duality
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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