Spin structures of flat manifolds of diagonal type
Algebraic Topology
2019-05-29 v1 Geometric Topology
Abstract
For each integer at least two, we construct non-spin closed oriented flat manifolds with holonomy group and with the property that all of their finite proper covers have a spin structure. Moreover, all such covers have trivial Stiefel-Whitney classes.
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Cite
@article{arxiv.1602.08585,
title = {Spin structures of flat manifolds of diagonal type},
author = {Rafał Lutowski and Nansen Petrosyan and Jerzy Popko and Andrzej Szczepański},
journal= {arXiv preprint arXiv:1602.08585},
year = {2019}
}
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13 pages