The fourth tautological group of M_g,n and relations with the cohomology

2000/05/12 by Marzia Polito, Polito, Marzia
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0005129

29 pages, 7 figures

arxiv created 2000/05/12 · arxiv updated 2009/11/30

Abstract

We give a complete description of the tautological subgroup of the fourth cohomology group of the moduli space of pointed stable curves, and prove that for g ≥ 8 it coincides with the cohomology group itself. We further give a conjectural upper bound depending on the genus for the degree of new tautological relations.

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• Tautological and non-tautological cohomology of the moduli space of curves
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• On the Chow and cohomology rings of moduli spaces of stable curves