Topological recursion, symplectic duality, and generalized fully simple maps
Mathematical Physics
2025-01-22 v2 High Energy Physics - Theory
Algebraic Geometry
Combinatorics
math.MP
Abstract
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the -point functions produced by the topological recursion on these curves via the -point functions on the original curve. As a corollary, we prove topological recursion for the generalized fully simple maps generating functions.
Cite
@article{arxiv.2304.11687,
title = {Topological recursion, symplectic duality, and generalized fully simple maps},
author = {Alexander Alexandrov and Boris Bychkov and Petr Dunin-Barkowski and Maxim Kazarian and Sergey Shadrin},
journal= {arXiv preprint arXiv:2304.11687},
year = {2025}
}
Comments
17 pages; several clarifications and corrections