Obstructions to Fibering a Manifold
Geometric Topology
2009-08-21 v2
Abstract
Given a map f: M \to M of closed topological manifolds we define torsion obstructions whose vanishing is a necessary condition for f being homotopy equivalent to a projection of a locally trivial fiber bundle. If N = S^1, these torsion obstructions are identified with the ones due to Farrell. We have changed the exposition according to the comments of the referee and corrected some typos. The paper will appear in Geometriae Dedicata.
Keywords
Cite
@article{arxiv.0901.1250,
title = {Obstructions to Fibering a Manifold},
author = {F. T. Farrell and Wolfgang Lück and Wolfgang Steimle},
journal= {arXiv preprint arXiv:0901.1250},
year = {2009}
}
Comments
33 pages