Spin structures on flat manifolds
Group Theory
2025-06-16 v3 Differential Geometry
Abstract
We present an algorithmic approach to the problem of existence of spin structures on flat manifolds. We apply our method in the cases of flat manifolds of dimensions 5 and 6.
Cite
@article{arxiv.1411.7799,
title = {Spin structures on flat manifolds},
author = {Rafał Lutowski and Bartosz Putrycz},
journal= {arXiv preprint arXiv:1411.7799},
year = {2025}
}
Comments
This version presents corrected results of the calculations of spin structures on flat manifolds of dimensions 5 and 6. The appendix presents details of those corrections