Mathematical Research Letters

Volume 17 (2010)

Number 3

Counting lattice points in the moduli space of curves

Pages: 467 – 481

DOI: http://dx.doi.org/10.4310/MRL.2010.v17.n3.a7

Author

Paul Norbury (University of Melbourne)

Abstract

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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