Divisibility of the stable Miller-Morita-Mumford classes

Galatius, Soren¹ ; Madsen, Ib² ; Tillmann, Ulrike³

¹ Department of Mathematics, Stanford University, Stanford, California 94305
² Matematisk Institut, Aarhus Universitet, 8000 Aarhus C, Denmark
³ Mathematical Institute, 24-29 St. Giles Street, Oxford OX1 3LB, United Kingdom

Journal of the American Mathematical Society, Tome 19 (2006) no. 4, pp. 759-779

Résumé

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 $\kappa _i \in H^* (B\Gamma _\infty ; \mathbb F_p)$ vanish.

Détail

DOI : 10.1090/S0894-0347-06-00523-6

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