Rigidity of Fibering

Details Rigidity of Fibering Rigidity of Fibering

2011-06-22

arxiv.org/abs/1106.4595v2

Mathematics

Geometric Topology

18 pages, new version has a lot more material, many suggestions on the first version incorporated

Scientific paper

Given a manifold M, it is natural to ask in how many ways it fibers (we mean fibering in a general way, where the base might be an orbifold -- this could be described as Seifert fibering)There are group-theoretic obstructions to the existence of even one fibering, and in some cases (such as Kahler manifolds or three-dimensional manifolds) the question reduces to a group-theoretic question. In this note we summarize the author's state of knowledge of the subject.

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