Cut-and-join equation for monotone Hurwitz numbers revisited

Authors
Publication date 03-2019
Journal Journal of Geometry and Physics
Volume | Issue number 137
Pages (from-to) 1-6
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We give a new proof of the cut-and-join equation for the monotone Hurwitz numbers, derived first by Goulden, Guay-Paquet, and Novak. The main interest in this particular equation is its close relation to the quadratic loop equation in the theory of spectral curve topological recursion, and we recall this motivation giving a new proof of the topological recursion for monotone Hurwitz numbers, obtained first by Do, Dyer, and Mathews.
Document type Article
Language English
Published at https://doi.org/10.1016/j.geomphys.2018.11.010
Other links https://www.scopus.com/pages/publications/85058414201
Permalink to this page
Back