Topological recursion, symplectic duality, and generalized fully simple maps

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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Publication Details

Journal
Journal of Geometry and Physics
Published
2024-09-27
DOI
https://doi.org/10.1016/j.geomphys.2024.105329
Citations
3
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
3.04

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article

Topological recursion, symplectic duality, and generalized fully simple maps

Petr Dunin‐Barkowski, Boris Sergeevich Bychkov, A. Alexandrov, Maxim Eduardovich Kazarian et al.
3 citations
Journal of Geometry and Physics
Algebraic structures and combinatorial models
3.04
article

Topological recursion, symplectic duality, and generalized fully simple maps

Petr Dunin‐Barkowski, Boris Sergeevich Bychkov, A. Alexandrov, Maxim Eduardovich Kazarian, Sergey Viktorovich Shadrin
article en
3 citations

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.

Journal of Geometry and PhysicsVol. 206
National Research University Higher School of Economics (RU), Skolkovo Institute of Science and Technology (RU), Kurchatov Institute (RU), Institute for Basic Science (KR), Carmel (Israel) (IL), Netherlands Institute for Advanced Study in the Humanities and Social Sciences (NL), Moscow Polytechnic University (RU), University of Haifa (IL)
Israel Science Foundation, University of Haifa, Russian Science Foundation, Institute for Basic Science
Openalex Percentile: Top 8%
Algebraic structures and combinatorial models
3.04
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Topological recursion, symplectic duality, and generalized fully simple maps — Petr Dunin‐Barkowski, Boris Sergeevich Bychkov, et al. · Journal of Geometry and Physics (2024) | TGRS Research Map | TGRS