Divisibility of the stable Miller-Morita-Mumford classes

Mathematics – Algebraic Topology

Scientific paper

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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.

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