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arXiv · 1301.4561

Relations in the tautological ring of the moduli space of curves

R. Pandharipande·A. Pixton
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Abstract

The virtual geometry of the moduli space of stable quotients is used to obtain Chow relations among the kappa classes on the moduli space of nonsingular genus g curves. In a series of steps, the stable quotient relations are rewritten in successively simpler forms. The final result is the proof of the Faber-Zagier relations (conjectured in 2000).

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R. Pandharipande, A. Pixton. 2013-01-19. Relations in the tautological ring of the moduli space of curves. https://arxiv.org/abs/1301.4561

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