Spin structures on almost-flat manifolds

  title={Spin structures on almost-flat manifolds},
  author={Anna Gkasior and Nansen Petrosyan and Andrzej Szczepa'nski},
  journal={Algebraic \& Geometric Topology},
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. 
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