Euler Characteristics of Moduli Spaces of Curves

Gilberto Bini; John Harer

Euler Characteristics of Moduli Spaces of Curves

Algebraic Geometry 2007-05-23 v1 Algebraic Topology

Authors: Gilberto Bini , John Harer

Abstract

Let ${mathcal M}_g^n$ be the moduli space of n-pointed Riemann surfaces of genus g. Denote by ${\bar {\mathcal M}}_g^n$ the Deligne-Mumford compactification of ${mathcal M}_g^n$ . In the present paper, we calculate the orbifold and the ordinary Euler characteristic of ${\bar {\mathcal M}}_g^n$ for any g and n such that n>2-2g.

Keywords

moduli spaces of curves euler characteristic deligne-mumford compactification pointed riemann surfaces orbifold

Cite

@article{arxiv.math/0506083,
  title  = {Euler Characteristics of Moduli Spaces of Curves},
  author = {Gilberto Bini and John Harer},
  journal= {arXiv preprint arXiv:math/0506083},
  year   = {2007}
}

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