Mathematics – Algebraic Topology
Scientific paper
2007-01-09
Journal of the American Mathematical Society, Volume 19, Number 4, October 2006, Pages 759--779
Mathematics
Algebraic Topology
24 pages, 1 figure
Scientific paper
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
$\kappa_i$ vanish.
Galatius Soren
Madsen Ib
Tillmann Ulrike
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