This article is cited in 1 paper

On framed simple purely real Hurwitz numbers

M. E. Kazarian^ab, S. K. Lando^ab, S. M. Natanzon<sup>ac

a</sup> National Research University "Higher School of Economics", Moscow
^b Skolkovo Institute of Science and Technology
^c State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow

Abstract: We study real Hurwitz numbers enumerating real meromorphic functions of a special kind, referred to as framed purely real functions. We deduce partial differential equations of cut-and-join type for the generating functions for these numbers. We also construct a topological field theory for them.

Keywords: simple Hurwitz number, real algebraic curve, real meromorphic function, real simple Hurwitz number, cut-and-join equation.

UDC: 512.772.5

MSC: 05A15, 14N18, 14P99, 58K05

Received: 14.02.2020

DOI: 10.4213/im9022

 English version: Izvestiya: Mathematics, 2021, 85:4, 681–704

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