Geodesic
On framed simple purely real Hurwitz numbers
Izvestiya. Mathematics , Tome 85 (2021) no. 4, pp. 681-704

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     author = {M. E. Kazarian and S. K. Lando and S. M. Natanzon},
     title = {On framed simple purely real {Hurwitz} numbers},
     journal = {Izvestiya. Mathematics },
     pages = {681--704},
     publisher = {mathdoc},
     volume = {85},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_4_a3/}
}
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M. E. Kazarian; S. K. Lando; S. M. Natanzon. On framed simple purely real Hurwitz numbers. Izvestiya. Mathematics , Tome 85 (2021) no. 4, pp. 681-704. http://geodesic.mathdoc.fr/item/IM2_2021_85_4_a3/