Corpus ID: 235446834

# Generalised ordinary vs fully simple duality for $n$-point functions and a proof of the Borot--Garcia-Failde conjecture

@inproceedings{Bychkov2021GeneralisedOV,
title={Generalised ordinary vs fully simple duality for \$n\$-point functions and a proof of the Borot--Garcia-Failde conjecture},
author={Boris Bychkov and Petr Dunin-Barkowski and Maxim Kazarian and Sergey Viktorovich Shadrin},
year={2021}
}
We study a duality for the n-point functions in VEV formalism that we call the ordinary vs fully simple duality. It provides an ultimate generalisation and a proper context for the duality between maps and fully simple maps observed by Borot and Garcia-Failde. Our approach allows to transfer the algebraicity properties between the systems of n-point functions related by this duality, and gives direct tools for the analysis of singularities. As an application, we give a proof of a recent… Expand
1 Citations
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We derive a new explicit formula in terms of sums over graphs for the npoint correlation functions of general formal weighted double Hurwitz numbers coming from the Orlov–Scherbin partitionExpand

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