Circle actions on simply connected 5--manifolds

2005/05/16 by Janós Kollár, János Kollár, Kollár, János
Mathematics · #57S15 (primary) 53C25 (secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #math.GT #msc:53C25 #msc:57S15

paper · pdf · doi:10.48550/arxiv.math/0505343

arxiv created 2005/05/16 · openalex publication_date 2005/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to study compact 5--manifolds which admit fixed point free circle actions. The first result implies that the torsion in the second homology and the second Stiefel--Whitney class have to satisfy strong restrictions. We then show that for simply connected 5--manifolds these restrictions are necessary and sufficient.

Citations

• The Geometries of 3-Manifolds

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