Loop equations and a proof of Zvonkine’s qr-ELSV formula

Open Access
Authors
Publication date 2023
Journal Annales scientifiques de l'École Normale Supérieure
Volume | Issue number 56 | 4
Pages (from-to) 1199-1229
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We prove the 2006 Zvonkine conjecture that expresses Hurwitz numbers with completed cycles in terms of intersection numbers with the Chiodo classes via the so-called r-ELSV formula, as well as its orbifold generalization, the so-called qr-ELSV formula.
Document type Article
Language English
Published at https://doi.org/10.24033/asens.2553
Published at https://arxiv.org/abs/1905.04524
Downloads
1905.04524 (Accepted author manuscript)
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