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Spin structures of flat manifolds of diagonal type

Spin structures of flat manifolds of diagonal type
Spin structures of flat manifolds of diagonal type
For each integer d at least two, we construct non-spin closed oriented flat manifolds with holonomy group Zd2 and with the property that all of their finite proper covers have a spin structure. Moreover, all such covers have trivial Stiefel-Whitney classes.
1-13
Lutowski, Rafal
32d7424b-80cf-4652-80d4-4a24b030c5ca
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Popko, Jerzy
df6bac08-1410-49f6-9339-3d64c3f0f4ee
Szczepański, Andrzej
1cc30fc9-d563-44cc-93c1-702da342e585
Lutowski, Rafal
32d7424b-80cf-4652-80d4-4a24b030c5ca
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Popko, Jerzy
df6bac08-1410-49f6-9339-3d64c3f0f4ee
Szczepański, Andrzej
1cc30fc9-d563-44cc-93c1-702da342e585

Lutowski, Rafal, Petrosyan, Nansen, Popko, Jerzy and Szczepański, Andrzej (2019) Spin structures of flat manifolds of diagonal type. Homology, Homotopy and Applications, (arXiv1602.08585), 1-13. (In Press)

Record type: Article

Abstract

For each integer d at least two, we construct non-spin closed oriented flat manifolds with holonomy group Zd2 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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Spin_diag_HHA - Accepted Manuscript
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More information

Submitted date: 27 February 2016
Accepted/In Press date: 8 January 2019
Additional Information: Imported from arXiv
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 390786
URI: https://eprints.soton.ac.uk/id/eprint/390786
PURE UUID: f787ebe6-2f11-48f3-8c40-e85f789b9de8

Catalogue record

Date deposited: 08 Apr 2016 14:21
Last modified: 19 Mar 2019 17:30

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