Spin$^c$ structures on Hantzsche-Wendt manifolds
Algebraic Topology
2021-10-27 v1 Differential Geometry
Abstract
Using a combinatorial description of Stiefel-Whitney classes of closed flat manifolds with diagonal holonomy representation, we show that no Hantzsche-Wendt manifold of dimension greater than three does not admit a spin structure.
Cite
@article{arxiv.2103.01051,
title = {Spin$^c$ structures on Hantzsche-Wendt manifolds},
author = {Rafał Lutowski and Jerzy Popko and Andrzej Szczepański},
journal= {arXiv preprint arXiv:2103.01051},
year = {2021}
}