The $S_n$-equivariant top weight Euler characteristic of $M_{g,n}$

Abstract

We prove a formula, conjectured by Zagier, for the $S_n$-equivariant Euler characteristic of the top weight cohomology of $M_{g,n}$.

28 pages, 5 figures; v3: minor revisions, final version to appear in Amer. J. Math

References in corpus (3)

• Topology of moduli spaces of tropical curves with marked points
• The weight two compactly supported Euler characteristic of moduli spaces of curves
• Homology representations of compactified configurations on graphs applied to ${\mathcal{M}}_{2,n}$

Cited by in corpus (6)

• Weight two compactly supported cohomology of moduli spaces of curves
• Configuration spaces on a wedge of spheres and Hochschild-Pirashvili homology
• Weight 11 compactly supported cohomology of moduli spaces of curves
• Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group
• The dual complex of ${\mathcal{M}}_{1,n}({\mathbb{P}}^r,d)$ via the geometry of the Vakil--Zinger moduli space
• The ${\mathbb{S}}_n$-equivariant Euler characteristic of the moduli space of graphs