Generating functions for intersection numbers on moduli spaces of curves

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Using the connection between intersection theory on the Deligne-Mumford spaces and the edge scaling of the GUE matrix model (see math.CO/9903176, math.AG/0101147), we express the n-point functions for the intersection numbers as n-dimensional error-function-type integrals and also give a derivation of Witten's KdV equations using the higher Fay identities of Adler, Shiota, and van Moerbeke.
Latex, 27 pages, 2 figures

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Algebraic Geometry, Mathematical Physics, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/60813

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101201
 http://arxiv.org/abs/math/0101201

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arXiv