Bini, G.; Gaiffi, G.; Polito, M. A formula for the Euler characteristic of \(\overline{\mathcal M}_{2,n}\). (English) Zbl 1056.14505 Math. Z. 236, No. 3, 491-523 (2001). Summary: We compute the generating function for the Euler characteristic of the Deligne-Mumford compactification of the moduli space of smooth \(n\)-pointed genus 2 curves. The proof relies on quite elementary methods, such as the enumeration of the graphs involved in a suitable stratification of \(\overline{\mathcal M}_{2,n}\). Cited in 1 ReviewCited in 4 Documents MSC: 14N35 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) 05C30 Enumeration in graph theory 14H10 Families, moduli of curves (algebraic) Keywords:enumeration of graphs; generating function; \(n\)-pointed genus 2 curves; stratification PDFBibTeX XMLCite \textit{G. Bini} et al., Math. Z. 236, No. 3, 491--523 (2001; Zbl 1056.14505) Full Text: DOI arXiv