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arxiv: 0801.4590 · v1 · submitted 2008-01-30 · 🧮 math.AG · math.GT

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Counting lattice points in the moduli space of curves

Paul Norbury
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classification 🧮 math.AG math.GT
keywords modulispacepointscurveslatticecharacteristiccoefficientscompactified
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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.

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