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Counting lattice points in compactified moduli spaces of curves
Counting lattice points compactified moduli spaces of curves
2011/3/1
We define and count lattice points in the moduli spaceMg,n of stable genus g curves with n labeled points.
Counting Essential Surfaces in a Closed Hyperbolic 3-Manifold
Counting Essential Surfaces Closed Hyperbolic 3-Manifold
2011/1/21
Let M3 be a closed hyperbolic three manifold. We show that the number of genus g surface subgroups of 1(M3) grows like g 2g.