2011/06/22 by Igor Rivin, Rivin, Igor
Mathematics · #14J99 #20F65 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.AG #math.GR #math.GT #msc:14J99 #msc:20F65
paper · pdf · doi:10.48550/arxiv.1106.4595
18 pages, new version has a lot more material, many suggestions on the first version incorporated
openalex publication_date 2011/06/22 · arxiv created 2011/07/04 · arxiv updated 2011/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.