Ressource pédagogique : Rahul Pandharipande - Stable quotients and relations in the tautological ring

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The topic concerns relations among the kappa classes in the tautological ring of the moduli space of genus g curves. After a discussion of classical constructions in Wick form, we derive an explicit set of relations obtained from the virtual geometry of the moduli space of stable quotients. In a series of steps, the stable quotient relations are transformed to simpler and simpler forms. Our nal result establishes a previously conjectural set of tautological relations proposed a decade ago by Faber{Zagier.

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• Mathématiques (510)

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