On the divisibility of characteristic classes of non-oriented surface bundles
arXiv:0707.0198 · doi:10.1016/j.topol.2008.07.004
Abstract
In this note we introduce a construction which assigns to an arbitrary manifold bundle its fiberwise orientation covering. This is used to show that the zeta classes of unoriented surface bundles are not divisible in the stable range.
6 pages, to appear in Topology and its Applications. v2: changes in exposition