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

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dc.creatorGoulden, I. P.
dc.creatorJackson, D. M.
dc.date1999-02-01
dc.date.accessioned2026-07-07T05:27:44Z
dc.date.available2026-07-07T05:27:44Z
dc.descriptionAn 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/9902009
dc.identifierhttp://arxiv.org/abs/math/9902009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78035
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject5*D29, 58C35, 05C30, 05E05
dc.titleA proof of a conjecture for the number of ramified coverings of the sphere by the torus
dc.typetext

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