Detecting and realising characteristic classes of manifold bundles
Algebraic Topology
2013-04-23 v1
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.
Keywords
Cite
@article{arxiv.1304.5571,
title = {Detecting and realising characteristic classes of manifold bundles},
author = {Soren Galatius and Oscar Randal-Williams},
journal= {arXiv preprint arXiv:1304.5571},
year = {2013}
}
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11 pages