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Bi-pruned Hurwitz numbers

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Publication:2174947
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DOI10.1016/j.jcta.2020.105240zbMath1434.14011arXiv1810.03565OpenAlexW3011227982WikidataQ114162682 ScholiaQ114162682MaRDI QIDQ2174947

Marvin Anas Hahn

Publication date: 27 April 2020

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03565


zbMATH Keywords

ribbon graphsHurwitz numbersHurwitz galaxies


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Coverings of curves, fundamental group (14H30)



Uses Software

  • GAP


Cites Work

  • Unnamed Item
  • Invariants of algebraic curves and topological expansion
  • Minimal factorizations of permutations into star transpositions
  • Toda equations for Hurwitz numbers
  • Pruned double Hurwitz numbers
  • Towards the geometry of double Hurwitz numbers
  • Riemann Surfaces and Algebraic Curves
  • Weighted Hurwitz numbers and topological recursion: An overview
  • Pruned Hurwitz numbers
  • Uniform random sampling of simple branched coverings of the sphere by itself
  • Hurwitz numbers, ribbon graphs, and tropicalization
  • Transitive factorisations into transpositions and holomorphic mappings on the sphere


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