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math.GT2010★ 22 cited
Counting lattice points in compactified moduli spaces of curves
Norman Do, Paul Norbury
We define and count lattice points in the moduli space of stable genus g curves with n labeled points. This extends a construction of the second author for the uncompactified modul…
math.GT2010★ 4 cited
The asymptotic Weil-Petersson form and intersection theory on M_{g,n}
Norman Do
Moduli spaces of hyperbolic surfaces with geodesic boundary components of fixed lengths may be endowed with a symplectic structure via the Weil-Petersson form. We show that, as the…