Spin structures on almost-flat manifolds
Geometric Topology
2016-05-04 v3
Abstract
We give a necessary and suffcient condition for almost-flat manifolds with cyclic holonomy to admit a Spin structure. Using this condition we find all 4-dimensional orientable almost- flat manifolds with cyclic holonomy that do not admit a Spin structure.
Cite
@article{arxiv.1312.1808,
title = {Spin structures on almost-flat manifolds},
author = {Anna Gąsior and Nansen Petrosyan and Andrzej Szczepański},
journal= {arXiv preprint arXiv:1312.1808},
year = {2016}
}