Circle actions on simply connected 5-manifolds

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14 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)643-671
Number of pages29
JournalTopology
Volume45
Issue number3
DOIs
StatePublished - May 1 2006

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • 5-manifold
  • Circle action
  • Sasakian geometry
  • Seifert bundle

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