Secondary Characteristic Classes of Surface Bundles

Details Secondary Characteristic Classes of Surface Bundles Secondary Characteristic Classes of Surface Bundles

2004-02-13

arxiv.org/abs/math/0402226v1

Mathematics

Algebraic Topology

6 pages

Scientific paper

The Miller-Morita-Mumford classes associate to an oriented surface bundle $E\to B$ a class $\kappa_i(E) \in H^{2i}(B;\Z)$. In this note we define for each prime $p$ and each integer $i\geq 1$ a secondary characteristic class $\lambda_i(E) \in H^{2i(p-1)-2}(B;\Z)/\Z\kappa_{i(p-1)-1}$. The mod $p$ reduction $\lambda_i(E) \in H^*(B; \F_p)$ has zero indeterminacy and satisfies $p\lambda_i(E) = \kappa_{i(p-1)-1}(E) \in H^*(B;\Z/p^2)$.

Affiliated with

Also associated with

No associations

Rating

Secondary Characteristic Classes of Surface Bundles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Secondary Characteristic Classes of Surface Bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Secondary Characteristic Classes of Surface Bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-85495