Log Topological Recursion Through the Prism of - y Swap

Open Access
Authors
  • A. Alexandrov
  • B. Bychkov
  • P. Dunin-Barkowski
  • M. Kazarian
Publication date 11-2024
Journal International Mathematics Research Notices
Volume | Issue number 2024 | 21
Pages (from-to) 13461-13487
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We introduce a new concept of logarithmic topological recursion that provides a patch to topological recursion in the presence of logarithmic singularities and prove that this new definition satisfies the universal x - y swap relation. This result provides a vast generalization and a proof of a very recent conjecture of Hock. It also uniformly explains (and conceptually rectifies) an approach to the formulas for the n -point functions proposed by Hock.
Document type Article
Language English
Published at https://doi.org/10.1093/imrn/rnae213
Other links https://www.scopus.com/pages/publications/85208372548
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