English

Cohomology of moduli spaces

Algebraic Geometry 2007-05-23 v1

Abstract

Some recent progress towards understanding the cohomology of moduli spaces of curves is described. Madsen and Weiss have given a proof of a generalisation of Mumford's conjecture on the stable cohomology of these moduli spaces M_g, and other contributors have made advances related to Faber's conjectures on the tautological ring of M_g.

Keywords

Cite

@article{arxiv.math/0305344,
  title  = {Cohomology of moduli spaces},
  author = {Frances Kirwan},
  journal= {arXiv preprint arXiv:math/0305344},
  year   = {2007}
}

Comments

ICM talk; 18 pages

R2 v1 2026-07-22T16:54:49.535Z