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

Mathematics – Algebraic Topology

Scientific paper

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6 pages, to appear in Topology and its Applications. v2: changes in exposition

Scientific paper

10.1016/j.topol.2008.07.004

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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