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Divisibility of the stable Miller-Morita-Mumford classes

Soren Galatius, Ib Madsen, Ulrike Tillmann

math.ATarXiv:math/0701247

Abstract

We determine the sublattice generated by the Miller-Morita-Mumford classes κi in the torsion free quotient of the integral cohomology ring of the stable mapping class group. We further decide when the mod p reductions κi vanish.

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