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arXiv · 1602.08585

Spin structures of flat manifolds of diagonal type

Rafał Lutowski·Nansen Petrosyan·Jerzy Popko·Andrzej Szczepański
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Abstract

For each integer $d$ at least two, we construct non-spin closed oriented flat manifolds with holonomy group $\mathbb Z_2^d$ 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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Rafał Lutowski, Nansen Petrosyan, Jerzy Popko, Andrzej Szczepański. 2016-02-27. Spin structures of flat manifolds of diagonal type. https://doi.org/10.4310/hha.2019.v21.n2.a18

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