A proof of a conjecture for the number of ramified coverings of the sphere by the torus

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An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the torus, with elementary branch points and prescribed ramification type over infinity. This proves a conjecture of Goulden, Jackson and Vainshtein for the explicit number of such coverings.
10 pages

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Algebraic Geometry, Combinatorics, 5*D29, 58C35, 05C30, 05E05

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http://salesiana.dossiersoluciones.com/handle/123456789/78035

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902009
 http://arxiv.org/abs/math/9902009

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arXiv