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.
333–344
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, 21, .
(doi:10.4310/HHA.2019.v21.n2.a18).
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.
Text
Spin diag HHA
- Accepted Manuscript
More information
Submitted date: 27 February 2016
Accepted/In Press date: 8 January 2019
e-pub ahead of print date: 3 April 2019
Additional Information:
Imported from arXiv
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 390786
URI: http://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: 15 Mar 2024 03:49
Export record
Altmetrics
Contributors
Author:
Rafal Lutowski
Author:
Jerzy Popko
Author:
Andrzej Szczepański
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
