Session 31. Representation Theory, Transformation Groups, and Applications

Spin structures on almost-flat manifolds

Nansen Petrosyan, University of Southampton, United Kingdom
The talk is based on the joint work with Anna Gąsior and Andrzej Szczepański
I will discuss a necessary and sufficient condition for almost-flat manifolds with cyclic holonomy to admit a Spin structure. This condition is quite practical to check given a finite presentation of the fundamental group of the almost-flat manifold. In particular, I will discuss how it applies in dimensional 4.
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