Euler characteristics of moduli spaces of curves

Bini, Gilberto, and Harer, John. "Euler characteristics of moduli spaces of curves." Journal of the European Mathematical Society 013.2 (2011): 487-512. <http://eudml.org/doc/277639>.

@article{Bini2011,
abstract = {Let $M^n_g$ be the moduli space of $n$-pointed Riemann surfaces of genus $g$. Denote by $\overline\{M^n_g\}$ the Deligne-Mumford compactification of $M^n_g$. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of $\overline\{M^n_g\}$ for any $g$ and $n$ such that $n>2-2g$.},
author = {Bini, Gilberto, Harer, John},
journal = {Journal of the European Mathematical Society},
keywords = {moduli space; stable curves; pointed curves; mapping class group; Euler characteristic; orbifold Euler characteristic; moduli space; stable curves; pointed curves; mapping class group; Euler characteristic; orbifold Euler characteristic},
language = {eng},
number = {2},
pages = {487-512},
publisher = {European Mathematical Society Publishing House},
title = {Euler characteristics of moduli spaces of curves},
url = {http://eudml.org/doc/277639},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Bini, Gilberto
AU - Harer, John
TI - Euler characteristics of moduli spaces of curves
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 2
SP - 487
EP - 512
AB - Let $M^n_g$ be the moduli space of $n$-pointed Riemann surfaces of genus $g$. Denote by $\overline{M^n_g}$ the Deligne-Mumford compactification of $M^n_g$. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of $\overline{M^n_g}$ for any $g$ and $n$ such that $n>2-2g$.
LA - eng
KW - moduli space; stable curves; pointed curves; mapping class group; Euler characteristic; orbifold Euler characteristic; moduli space; stable curves; pointed curves; mapping class group; Euler characteristic; orbifold Euler characteristic
UR - http://eudml.org/doc/277639
ER -