Generating functions for intersection numbers on moduli spaces of curves

Details Generating functions for intersection numbers on moduli spaces of curves Generating functions for intersection numbers on moduli spaces of curves

2001-01-24

arxiv.org/abs/math/0101201v2

Mathematics

Algebraic Geometry

Latex, 27 pages, 2 figures

Scientific paper

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.

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