On independence of generators of the tautological rings

Abstract

We prove that all monomials of $\kappa$-classes and $\psi$-classes are independent in $R^k(\ocM_{g,n})/R^k(\partial\ocM_{g,n})$ for all $k\le [g/3]$. We also give a simple argument for ${\kappa }_l\ne 0$ in $R^l({\mathcal{M}}_g)$ for $l\le g-2$.

References in corpus (2)

• The stable moduli space of Riemann surfaces: Mumford's conjecture
• The moduli space of curves, double Hurwitz numbers, and Faber's intersection number conjecture

Cited by in corpus (1)

• Invariance of tautological equations II: Gromov--Witten theory