Generating functions for intersection numbers on moduli spaces of curves
Algebraic Geometry
2007-05-23 v2 Mathematical Physics
Combinatorics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0101201,
title = {Generating functions for intersection numbers on moduli spaces of curves},
author = {Andrei Okounkov},
journal= {arXiv preprint arXiv:math/0101201},
year = {2007}
}
Comments
Latex, 27 pages, 2 figures