Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
Algebraic Geometry
2007-05-23 v2 High Energy Physics - Theory
Mathematical Physics
Combinatorics
math.MP
Abstract
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 secondary goal is to present an exposition of the circle of ideas involved: Hurwitz numbers, Gromov-Witten theory of the projective line, matrix integrals, and the theory of random trees. Further topics will be treated in a sequel.
Cite
@article{arxiv.math/0101147,
title = {Gromov-Witten theory, Hurwitz numbers, and Matrix models, I},
author = {Andrei Okounkov and Rahul Pandharipande},
journal= {arXiv preprint arXiv:math/0101147},
year = {2007}
}
Comments
Latex, 107 pages, 9 figures, updated version