Abstract
We define and count lattice points in the moduli space of stable genus curves with labeled points. This extends a construction of the second author for the uncompactified moduli space . The enumeration produces polynomials whose top degree coefficients are tautological intersection numbers on and whose constant term is the orbifold Euler characteristic of . We prove a recursive formula which can be used to effectively calculate these polynomials. One consequence of these results is a simple recursion relation for the orbifold Euler characteristic of .
Citation
Norman Do. Paul Norbury. "Counting lattice points in compactified moduli spaces of curves." Geom. Topol. 15 (4) 2321 - 2350, 2011. https://doi.org/10.2140/gt.2011.15.2321
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