Rigidity of Fibering
Geometric Topology
2011-07-05 v2 Algebraic Geometry
Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1106.4595,
title = {Rigidity of Fibering},
author = {Igor Rivin},
journal= {arXiv preprint arXiv:1106.4595},
year = {2011}
}
Comments
18 pages, new version has a lot more material, many suggestions on the first version incorporated