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Divisibility of the stable Miller-Morita-Mumford classes

Soren Galatius·Ib Madsen·Ulrike Tillmann
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Abstract

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

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Soren Galatius, Ib Madsen, Ulrike Tillmann. 2007-01-09. Divisibility of the stable Miller-Morita-Mumford classes. https://arxiv.org/abs/math/0701247

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