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arXiv · 1304.5571

Detecting and realising characteristic classes of manifold bundles

Soren Galatius·Oscar Randal-Williams
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Abstract

We apply our earlier work on the higher-dimensional analogue of the Mumford conjecture to two questions. Inspired by work of Ebert we prove non-triviality of certain characteristic classes of bundles of smooth closed manifolds. Inspired by work of Church-Farb-Thibault and Church-Crossley-Giansiracusa we investigate the dependence of characteristic classes of bundles on characteristic numbers of its fibre, total space and base space.

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Soren Galatius, Oscar Randal-Williams. 2013-04-20. Detecting and realising characteristic classes of manifold bundles. https://arxiv.org/abs/1304.5571

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