Degenerate and Irregular Topological Recursion

Open Access
Authors
  • A. Alexandrov
  • B. Bychkov
  • P. Dunin-Barkowski
  • M. Kazarian
Publication date 05-2025
Journal Communications in Mathematical Physics
Article number 94
Volume | Issue number 406 | 5
Number of pages 31
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We use the theory of xy duality to propose a new definition/construction for the correlation differentials of topological recursion; we call it generalized topological recursion. This new definition coincides with the original topological recursion of Chekhov–Eynard–Orantin in the regular case and allows, in particular, to get meaningful answers in a variety of irregular and degenerate situations.
Document type Article
Language English
Published at https://doi.org/10.1007/s00220-025-05274-w
Other links https://www.scopus.com/pages/publications/105002650260
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