EXPLICIT CLOSED ALGEBRAIC FORMULAS FOR ORLOV–SCHERBIN n-POINT FUNCTIONS

Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian, Sergey Shadrin

Research output: Contribution to journalArticlepeer-review

Abstract

We derive a new explicit formula in terms of sums over graphs for the n-point correlation functions of general formal weighted double Hurwitz numbers coming from the Kadomtsev–Petviashvili tau functions of hypergeometric type (also known as Orlov–Scherbin partition functions). Notably, we use the change of variables suggested by the associated spectral curve, and our formula turns out to be a polynomial expression in a certain small set of formal functions defined on the spectral curve.

Original languageEnglish
Pages (from-to)1121-1158
Number of pages38
JournalJournal de l'Ecole Polytechnique - Mathematiques
Volume9
DOIs
Publication statusPublished - 2022
Externally publishedYes

Keywords

  • Fock space
  • Hurwitz numbers
  • KP tau functions

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