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

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

2000-05-12

arxiv.org/abs/math/0005129v1

Mathematics

Algebraic Geometry

29 pages, 7 figures

Scientific paper

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 \geq 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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