English

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

Algebraic Geometry 2025-01-07 v3

Abstract

We prove a formula, conjectured by Zagier, for the SnS_n-equivariant Euler characteristic of the top weight cohomology of Mg,nM_{g,n}.

Keywords

Cite

@article{arxiv.1904.06367,
  title  = {The $S_n$-equivariant top weight Euler characteristic of $M_{g,n}$},
  author = {Melody Chan and Carel Faber and Soren Galatius and Sam Payne},
  journal= {arXiv preprint arXiv:1904.06367},
  year   = {2025}
}

Comments

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