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Divisibility of the stable Miller-Morita-Mumford classes
Authors:Soren Galatius   Ib Madsen   Ulrike Tillmann
Affiliation: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 $ kappa _i$ in the torsion free quotient of the integral cohomology ring of the stable mapping class group. We further decide when the mod $ p$ reductions $ kappa_i in H^* (BGamma _infty ; mathbb{F}_p)$ vanish.

Keywords:Mapping class group   characteristic classes   surface bundles
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