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On independence of generators of the tautological rings

D. Arcara·Y. -P. Lee
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Abstract

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

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D. Arcara, Y. -P. Lee. 2007-06-03. On independence of generators of the tautological rings. https://arxiv.org/abs/math/0605488

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