Search results for "rational cohomology classes"
showing 2 items of 2 documents
Generalized Hodge classes on the moduli space of curves
2003
On the moduli space of curves we consider the cohomology classes which can be viewed as a generalization of the Hodge classes λi defined by Mumford in [6]. Following the methods used in this paper, we prove that these classes belong to the tautological ring of the moduli space.
Combinatorics of Mumford-Morita-Miller classes in low genus
2003
Here we use elementary combinatorial arguments to give explicit formulae and relations for some cohomology classes of moduli spaces of stable curves of low genus.