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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 1, Pages 44–58
DOI: https://doi.org/10.4213/faa2977 (Mi faa2977) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Simple Hurwitz Numbers of a Disk

S. M. Natanzonabcd

a Moscow State University
b Institute for Theoretical and Experimental Physics
c Independent University of Moscow
d A. N. Belozersky Institute of Physico-Chemical Biology
Full-text PDF (241 kB) Citations (13)
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DOI: https://doi.org/10.4213/faa2977
Abstract: Let $D$ be the closed unit disk. We study the Hurwitz numbers corresponding to the coverings of $D$ whose only multiple critical value lies on the boundary of $D$ and find differential equations describing the generating function of these numbers.
Keywords: Hurwitz numbers, topological field theory, cut-and-join equation.
Received: 31.03.2008
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 1, Pages 36–47
DOI: https://doi.org/10.1007/s10688-010-0004-3
Bibliographic databases:
Document Type: Article
UDC: 515.162
Language: Russian
Citation: S. M. Natanzon, “Simple Hurwitz Numbers of a Disk”, Funktsional. Anal. i Prilozhen., 44:1 (2010), 44–58; Funct. Anal. Appl., 44:1 (2010), 36–47
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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