Existence of spin structures on flat four-manifolds

Author:

Putrycz Bartosz1,Szczepański Andrzej1

Affiliation:

1. Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland. Email:

Abstract

Abstract We prove that all but 3 of the 27 closed, orientable, flat, four-dimensional manifolds have a spin structure.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Spin structures on Hantzsche-Wendt manifolds;Journal of Geometry and Physics;2022-01

2. Virtually spinning hyperbolic manifolds;Proceedings of the Edinburgh Mathematical Society;2019-12-05

3. Intersection forms of almost-flat 4-manifolds;Archiv der Mathematik;2018-01-18

4. CLASSIFICATION OF SPIN STRUCTURES ON FOUR‐DIMENSIONAL ALMOST‐FLAT MANIFOLDS;Mathematika;2018-01

5. Spin structures on almost-flat manifolds;Algebraic & Geometric Topology;2016-04-26

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