Counting lattice points in the moduli space of curves
Abstract
Description
We show how to define and count lattice points in the moduli space $\modm_{g,n}$ of genus g curves with n labeled points. This produces a polynomial with coefficients that include the Euler characteristic of the moduli space, and tautological intersection numbers on the compactified moduli space.
15 pages, 5figures
15 pages, 5figures