Hodge integrals and Hurwitz numbers via virtual localization

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Ekedahl, Lando, Shapiro, and Vainshtein announced a remarkable formula expressing Hurwitz numbers (counting covers of the projective line with specified simple branch points, and specified branching over one other point) in terms of Hodge integrals. We give a proof of this formula using virtual localization on the moduli space of stable maps, and describe how the proof could be simplified by the proper algebro-geometric definition of a "relative space".
13 pages, 1 figure

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Algebraic Geometry, 14H10

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http://salesiana.dossiersoluciones.com/handle/123456789/58810

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0003028
 http://arxiv.org/abs/math/0003028

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arXiv