Circle actions on simply connected 5--manifolds

Details Circle actions on simply connected 5--manifolds Circle actions on simply connected 5--manifolds

2005-05-16

arxiv.org/abs/math/0505343v1

Mathematics

Geometric Topology

Scientific paper

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.

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