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Simple Hurwitz numbers of a disk

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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.

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Authors and Affiliations

  1. Belozersky Institute of Physico-Chemical Biology, Moscow State University, Moscow, Russia

    S. M. Natanzon

  2. Independent University of Moscow, Institute for Theoretical and Experimental Physics, Moscow, Russia

    S. M. Natanzon

Authors
  1. S. M. Natanzon
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Correspondence to S. M. Natanzon.

Additional information

To the memory of Israel Moiseevich Gelfand

Translated from Funktsionals’nyi Analiz i Ego Prilozheniya, Vol. 44, No. 1, pp. 44–58, 2010

Original Russian Text Copyright © by S. M. Natanzon

Supported in part by grants NSh-709.2008.1 and RFBR 08-01-00110-a.

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Natanzon, S.M. Simple Hurwitz numbers of a disk. Funct Anal Its Appl 44, 36–47 (2010). https://doi.org/10.1007/s10688-010-0004-3

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  • DOI: https://doi.org/10.1007/s10688-010-0004-3

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