Circle actions on simply connected 5-manifolds

• Autores: János Kollár
• Localización: Topology, ISSN 0040-9383, Vol. 45, Nº 3, 2006, págs. 643-672
• Idioma: inglés
• DOI: 10.1016/j.top.2006.01.003
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• Resumen

  • 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.