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The fourth tautological group of ${\bar{M}}_{g, n}$ and relations with the cohomology

Marzia Polito — 2003

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We give a complete description of the fourth tautological group of the moduli space of pointed stable curves, ${\bar{M}}_{g, n}$ , and prove that for $g \geq 8$ it coincides with the cohomology group with rational coefficients. We further give a conjectural upper bound depending on the genus for the degree of new tautological relations.

Semistable quotients

Peter Heinzner; Luca Migliorini; Marzia Polito — 1998

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The fourth tautological group of M ¯ g , n and relations with the cohomology

Semistable quotients

The fourth tautological group of ${\bar{M}}_{g, n}$ and relations with the cohomology