On Certain 5-manifolds with Fundamental Group of Order 2
Geometric Topology
2011-06-14 v4 Algebraic Topology
Abstract
In this paper, an explicit classification result for certain 5-manifolds with fundamental group Z/2 is obtained. These manifolds include total spaces of circle bundles over simply-connected 4-manifolds.
Keywords
Cite
@article{arxiv.0903.5244,
title = {On Certain 5-manifolds with Fundamental Group of Order 2},
author = {Ian Hambleton and Yang Su},
journal= {arXiv preprint arXiv:0903.5244},
year = {2011}
}
Comments
Remark 3.8 added (v2); some typos fixed. For (v3) corrected the calculations in Section 5 & 6. The classification results are not affected. For (v4) the later sections were re-organized and a new Section 4 added. New details added to the proof of Lemma 4.5