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Ribbon decomposition and twisted Hurwitz numbers

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Publication:6120913
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DOI10.5802/mrr.19arXiv2107.13861OpenAlexW4391470114MaRDI QIDQ6120913

Yu. M. Burman, Raphaël Fesler

Publication date: 26 March 2024

Published in: Mathematics Research Reports (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.13861


zbMATH Keywords

Hurwitz numbersurface with boundaryJack polynomial


Mathematics Subject Classification ID

Enumeration in graph theory (05C30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)




Cites Work

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  • Simple Hurwitz numbers of a disk
  • Tropical real Hurwitz numbers
  • Cycle factorizations and 1-faced graph embeddings
  • Graphs on surfaces and their applications. Appendix by Don B. Zagier
  • Tree-like properties of cycle factorizations
  • Non-orientable branched coverings, \(b\)-Hurwitz numbers, and positivity for multiparametric Jack expansions
  • An algebro-geometric proof of Witten’s conjecture
  • TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS
  • Topological classification of generic real meromorphic functions from compact surfaces
  • On framed simple purely real Hurwitz numbers


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