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Izvestiya: Mathematics, 2021, Volume 85, Issue 4, Pages 681–704
DOI: https://doi.org/10.1070/IM9022 (Mi im9022) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On framed simple purely real Hurwitz numbers

M. E. Kazarianab, S. K. Landoab, S. M. Natanzonac

a 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
English version PDF (627 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM9022
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.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00579
Russian Science Foundation 20-41-09009
While preparing this paper, S. M. Natanzon was partly supported by the Russian Foundation for Basic Research, grant no. 20-01-00579, and enjoyed the hospitality of Institut des Hautes Études Scientifiques (Paris, France). The results of S. K. Lando presented in § 2 were obtained with the support of RSF-ANR grant no. 20-41-09009.
Received: 14.02.2020
Bibliographic databases:
Document Type: Article
UDC: 512.772.5
MSC: 05A15, 14N18, 14P99, 58K05
Language: English
Original paper language: Russian
Citation: M. E. Kazarian, S. K. Lando, S. M. Natanzon, “On framed simple purely real Hurwitz numbers”, Izv. Math., 85:4 (2021), 681–704
Citation in format AMSBIB
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\by M.~E.~Kazarian, S.~K.~Lando, S.~M.~Natanzon
\paper On framed simple purely real Hurwitz numbers
\jour Izv. Math.
\yr 2021
\vol 85
\issue 4
\pages 681--704
\mathnet{http://mi.mathnet.ru//eng/im9022}
\crossref{https://doi.org/10.1070/IM9022}
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  • https://www.mathnet.ru/eng/im9022
  • https://doi.org/10.1070/IM9022
  • https://www.mathnet.ru/eng/im/v85/i4/p69
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    References:38
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