Polynomial relations among kappa classes on the moduli space of curves

2021/12/22 by Kazarian, Maxim, Norbury, Paul
#14D23 #14H10 #32G15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.11672

Abstract

We construct an infinite collection of universal -- independent of (g,n) -- polynomials in the Miller-Morita-Mumford classes κ_m∈ H^2m( \cal M_g,n,\bq), defined 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.

Related

• The kappa classes on the moduli spaces of curves
• Relations in the tautological ring of the moduli space of curves
• Polynomial families of tautological classes on M_g,n^rt
• A new spin on polynomial relations among kappa classes
• Moduli spaces of curves with polynomial point counts