Divisibility of the stable Miller-Morita-Mumford classes-Reference-Cited by-同舟云学术

Divisibility of the stable Miller-Morita-Mumford classes

Published:2006-03-17 Issue:4 Volume:19 Page:759-779
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Galatius Soren,Madsen Ib,Tillmann Ulrike

Abstract

We determine the sublattice generated by the Miller-Morita- Mumford classes κ i \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 p reductions κ i ∈ H ∗ ( B Γ ∞ ; F p ) \kappa _i \in H^* (B\Gamma _\infty ; \mathbb F_p) vanish.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2006-19-04/S0894-0347-06-00523-6/S0894-0347-06-00523-6.pdf

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