Circle actions on simply connected 5--manifolds
Geometric Topology
2007-05-23 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0505343,
title = {Circle actions on simply connected 5--manifolds},
author = {János Kollár},
journal= {arXiv preprint arXiv:math/0505343},
year = {2007}
}