Obstructions to stably fibering manifolds
Geometric Topology
2014-11-11 v1 K-Theory and Homology
Abstract
Is a given map between compact topological manifolds homotopic to the projection map of a fiber bundle? In this paper obstructions to this question are introduced with values in higher algebraic K-theory. Their vanishing implies that the given map fibers stably. The methods also provide results for the corresponding uniqueness question; moreover they apply to the fibering of Hilbert cube manifolds, generalizing results by Chapman-Ferry.
Cite
@article{arxiv.1105.4744,
title = {Obstructions to stably fibering manifolds},
author = {Wolfgang Steimle},
journal= {arXiv preprint arXiv:1105.4744},
year = {2014}
}
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27 pages