On the divisibility of characteristic classes of non-oriented surface bundles
Algebraic Topology
2011-09-23 v2 Geometric Topology
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.
Keywords
Cite
@article{arxiv.0707.0198,
title = {On the divisibility of characteristic classes of non-oriented surface bundles},
author = {Johannes Ebert and Oscar Randal-Williams},
journal= {arXiv preprint arXiv:0707.0198},
year = {2011}
}
Comments
6 pages, to appear in Topology and its Applications. v2: changes in exposition