Department of Mathematics, Stanford University, Stanford, California 94305 ; Matematisk Institut, Aarhus Universitet, 8000 Aarhus C, Denmark ; Mathematical Institute, 24-29 St. Giles Street, Oxford OX1 3LB, United Kingdom
Abstract:
We determine the sublattice generated by the Miller-Morita- Mumford classes in the torsion free quotient of the integral cohomology ring of the stable mapping class group. We further decide when the mod reductions vanish.