The \(S_n\)-equivariant top weight Euler characteristic of \(\mathcal{M}_{g,n}\). (English) Zbl 07771203
Summary: We prove a formula, conjectured by Zagier, for the \(S_n\)-equivariant Euler characteristic of the top weight cohomology of \(\mathcal{M}_{g,n}\).
MSC:
| 14H10 | Families, moduli of curves (algebraic) |
| 05A15 | Exact enumeration problems, generating functions |
| 18A25 | Functor categories, comma categories |
| 18B40 | Groupoids, semigroupoids, semigroups, groups (viewed as categories) |
| 55R40 | Homology of classifying spaces and characteristic classes in algebraic topology |
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