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arXiv · 2304.11687

Topological recursion, symplectic duality, and generalized fully simple maps

Alexander Alexandrov·Boris Bychkov·Petr Dunin-Barkowski·Maxim Kazarian·Sergey Shadrin
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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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Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian, Sergey Shadrin. 2023-04-23. Topological recursion, symplectic duality, and generalized fully simple maps. https://doi.org/10.1016/j.geomphys.2024.105329

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