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On the tautological ring of $\bar{M}_{g,n}$

T. Graber·R. Vakil
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Abstract

We prove that the dimension 0 part of the tautological ring of the moduli space of stable pointed curves is one-dimensional. This provides the first genus-free evidence for a conjecture of Faber and Pandharipande that the tautological ring of the moduli space is Gorenstein, answering in the affirmative a question of Hain and Looijenga.

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T. Graber, R. Vakil. 2000-11-15. On the tautological ring of $\bar{M}_{g,n}$. https://arxiv.org/abs/math/0011100

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