# Euler characteristics of moduli spaces of curves

Journal of the European Mathematical Society (2011)

- Volume: 013, Issue: 2, page 487-512
- ISSN: 1435-9855

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topBini, 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 -

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