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math.AG2001
Generating functions for intersection numbers on moduli spaces of curves
Andrei Okounkov
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…
math.AG2001
Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
Andrei Okounkov, Rahul Pandharipande
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…