Open Access
2016 Spin structures on almost-flat manifolds
Anna Gąsior, Nansen Petrosyan, Andrzej Szczepański
Algebr. Geom. Topol. 16(2): 783-796 (2016). 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.

Citation

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Anna Gąsior. Nansen Petrosyan. Andrzej Szczepański. "Spin structures on almost-flat manifolds." Algebr. Geom. Topol. 16 (2) 783 - 796, 2016. https://doi.org/10.2140/agt.2016.16.783

Information

Received: 5 November 2014; Revised: 6 July 2015; Accepted: 7 September 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1361.53040
MathSciNet: MR3493407
Digital Object Identifier: 10.2140/agt.2016.16.783

Subjects:
Primary: 53C27
Secondary: 20H25

Keywords: almost-flat manifolds , Infra-nilmanifolds , spin structures

Rights: Copyright © 2016 Mathematical Sciences Publishers

Vol.16 • No. 2 • 2016
MSP
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