Gromov-Witten theory, Hurwitz numbers, and Matrix models, I

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The main goal of the paper is to present a new approach via Hurwitz numbers to Kontsevich's combinatorial/matrix model for the intersection theory of the moduli space of curves. A secondary goal is to present an exposition of the circle of ideas involved: Hurwitz numbers, Gromov-Witten theory of the projective line, matrix integrals, and the theory of random trees. Further topics will be treated in a sequel.
Latex, 107 pages, 9 figures, updated version

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Algebraic Geometry, High Energy Physics - Theory, Mathematical Physics, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/60775

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101147
 http://arxiv.org/abs/math/0101147

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arXiv