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Generating weighted Hurwitz numbers

Mathematical Physics 2021-03-04 v5 Combinatorics math.MP Probability Exactly Solvable and Integrable Systems

Abstract

Multicurrent correlators associated to KP τ\tau-functions of hypergeometric type are used as generating functions for weighted Hurwitz numbers. These are expressed as formal Taylor series and used to compute generic, simple, rational and quantum weighted single Hurwitz numbers.

Keywords

Cite

@article{arxiv.1901.10038,
  title  = {Generating weighted Hurwitz numbers},
  author = {M. Bertola and J. Harnad and B. Runov},
  journal= {arXiv preprint arXiv:1901.10038},
  year   = {2021}
}

Comments

23 pages

R2 v1 2026-06-23T07:24:55.136Z