- 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 non-oriented surface bundles are not divisible in the stable range.
- Publication status:
- Peer review status:
- Peer reviewed
- Publisher's version
- Funding agency for:
- Oscar Randal-Williams
- Copyright holder:
- Elsevier B.V.
- Copyright date:
- Copyright 2008 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
On the divisibility of characteristic classes of non-oriented surface bundles
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