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On framed simple purely real Hurwitz numbers
Izvestiya: Mathematics ( IF 0.8 ) Pub Date : 2021-08-16 , DOI: 10.1070/im9022 M. E. Kazarian 1, 2 , S. K. Lando 1, 2 , S. M. Natanzon 1, 3
中文翻译:
关于带框的简单纯实 Hurwitz 数
更新日期:2021-08-16
Izvestiya: Mathematics ( IF 0.8 ) Pub Date : 2021-08-16 , DOI: 10.1070/im9022 M. E. Kazarian 1, 2 , S. K. Lando 1, 2 , S. M. Natanzon 1, 3
Affiliation
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.
中文翻译:
关于带框的简单纯实 Hurwitz 数
我们研究枚举一种特殊类型的实亚纯函数的实 Hurwitz 数,称为框架纯实函数。我们为这些数字的生成函数推导出切合类型的偏微分方程。我们还为它们构建了一个拓扑场论。