Topological recursion, symplectic duality, and generalized fully simple maps

Open Access
Authors
  • A. Alexandrov
  • B. Bychkov
  • P. Dunin-Barkowski
  • M. Kazarian
Publication date 12-2024
Journal Journal of Geometry and Physics
Article number 105329
Volume | Issue number 206
Number of pages 13
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Language English
Published at https://doi.org/10.1016/j.geomphys.2024.105329
Other links https://www.scopus.com/pages/publications/85205427206
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