2010/04/30 by Jonathan A. Hillman · 3 citations
Mathematics · #Abelian group #Action (physics) #Combinatorics #Fibered knot #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Homogeneous #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematics #Pairing #Point (geometry) #Pure mathematics #math.GT #msc:57M25 #msc:57N10
paper · pdf · doi:10.1016/j.topol.2010.11.023
published in Topology and its Applications 158(3), 468-478 (Elsevier BV) · The paper has been rewritten to display the results more clearly, and errors flowing from an inconsistent choice of signs have been corrected. The formulation of the final result on 2-torsion has also been improved
arxiv created 2010/10/15 · openalex publication_date 2010/12/04 · arxiv updated 2011/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the p-primary components of the linking pairings of orientable 3-manifolds admitting a fixed-point free S1-action. Using this, we show that any non-singular linking pairing on a finite abelian group with homogeneous 2-primary summand is realized by such a manifold. However, some pairings on inhomogeneous 2-groups are not realizable by any Seifert fibred 3-manifold.