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arXiv:math/0101201 [math.AG]AbstractReferencesReviewsResources

Generating functions for intersection numbers on moduli spaces of curves

Andrei Okounkov

Published 2001-01-24, updated 2001-01-25Version 2

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.

Comments: Latex, 27 pages, 2 figures
Categories: math.AG, math-ph, math.CO, math.MP
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