Polynomial relations among kappa classes on the moduli space of stable curves.

Paul Norbury

We construct an infinite collection of universal, i.e. independent of (g,n), polynomials in the kappa classes, defined first by Mumford then in the form we need by Arbarello and Cornalba, over the moduli space of genus g stable curves with n labeled points. We conjecture vanishing of these polynomials in a range depending on g and n. Recently half of these vanishing results were proven by Chidambaram, Garcia-Failde, and Giacchetto. This is joint work with Maxim Kazarian.

http://scgp.stonybrook.edu/video_portal/video.php?id=5416

Simons- Program: Integrability, enumerative geometry and quantization