English

On framed simple purely real Hurwitz numbers

Algebraic Geometry 2019-02-12 v2

Abstract

We present a study of real Hurwitz numbers enumerating a special kind of real meromorphic functions, which we call simple framed purely real functions. We deduce partial differential equations of cut-and-join type for generating functions for these numbers. We also construct a topological field theory for them.

Keywords

Cite

@article{arxiv.1809.04340,
  title  = {On framed simple purely real Hurwitz numbers},
  author = {Maxim Kazarian and Sergey Lando and Sergey Natanzon},
  journal= {arXiv preprint arXiv:1809.04340},
  year   = {2019}
}

Comments

29 pages, 6 figures

R2 v1 2026-06-23T04:03:36.768Z