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arXiv · 0707.0198

On the divisibility of characteristic classes of non-oriented surface bundles

Johannes Ebert·Oscar Randal-Williams
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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.

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BibTeXRIS

Johannes Ebert, Oscar Randal-Williams. 2007-07-02. On the divisibility of characteristic classes of non-oriented surface bundles. https://doi.org/10.1016/j.topol.2008.07.004

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