Spin structures on almost-flat manifolds
Spin structures on almost-flat manifolds
We give a necessary and sufficient condition for almost-flat manifolds with cyclic holonomy to admit a Spin structure. Using this condition we find all 4-dimensional orientable almost-flat manifolds with cyclic holonomy that do not admit a Spin structure.
783–796
Gąsior, Anna
09b724ff-bb2d-47fe-bd62-65ab0edebd9a
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Szczepański, Andrzej
1cc30fc9-d563-44cc-93c1-702da342e585
26 April 2016
Gąsior, Anna
09b724ff-bb2d-47fe-bd62-65ab0edebd9a
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Szczepański, Andrzej
1cc30fc9-d563-44cc-93c1-702da342e585
Gąsior, Anna, Petrosyan, Nansen and Szczepański, Andrzej
(2016)
Spin structures on almost-flat manifolds.
Algebraic & Geometric Topology, 16 (2), .
(doi:10.2140/agt.2016.16.783).
Abstract
We give a necessary and sufficient condition for almost-flat manifolds with cyclic holonomy to admit a Spin structure. Using this condition we find all 4-dimensional orientable almost-flat manifolds with cyclic holonomy that do not admit a Spin structure.
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e-pub ahead of print date: 26 April 2016
Published date: 26 April 2016
Organisations:
Pure Mathematics
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Local EPrints ID: 390771
URI: http://eprints.soton.ac.uk/id/eprint/390771
ISSN: 1472-2747
PURE UUID: af17de80-9145-4c1a-b5f3-b0d2aae16546
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Date deposited: 08 Apr 2016 14:13
Last modified: 15 Mar 2024 03:49
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Author:
Anna Gąsior
Author:
Andrzej Szczepański
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