Volume 16, issue 2 (2016)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Spin structures on almost-flat manifolds

Anna Gąsior, Nansen Petrosyan and Andrzej Szczepański

Algebraic & Geometric Topology 16 (2016) 783–796
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.

Keywords
almost-flat manifolds, infra-nilmanifolds, Spin structures
Mathematical Subject Classification 2010
Primary: 53C27
Secondary: 20H25
References
Publication
Received: 5 November 2014
Revised: 6 July 2015
Accepted: 7 September 2015
Published: 26 April 2016
Authors
Anna Gąsior
Maria Curie-Skłodowska University
20-031 Lublin
Poland
Nansen Petrosyan
Department of Mathematics
University of Southampton
Southampton SO17 1BJ
UK
Andrzej Szczepański
Institute of Mathematics
University of Gdańsk
80-952 Gdańsk
Poland