On the divisibility of characteristic classes of non-oriented surface bundles
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2007
- DOI:
- arXiv:
- arXiv:0707.0198
- Bibcode:
- 2007arXiv0707.0198E
- Keywords:
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- Mathematics - Algebraic Topology;
- Mathematics - Geometric Topology;
- 57R20
- E-Print:
- 6 pages, to appear in Topology and its Applications. v2: changes in exposition